12121200000

素因数分解:

$2^7\times 3^2\times 5^5\times 7^1\times {\mathrm{13}}^1\times {\mathrm{37}}^1$

素因数の和:102

約数の個数: 1152

約数和(自身を含む): 55108347840

約数和(自身を除く): 42987147840

約数列:

[1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 12, 13, 14, 15, 16, 18, 20, 21, 24, 25, 26, 28, 30, 32, 35, 36, 37, 39, 40, 42, 45, 48, 50, 52, 56, 60, 63, 64, 65, 70, 72, 74, 75, 78, 80, 84, 90, 91, 96, 100, 104, 105, 111, 112, 117, 120, 125, 126, 128, 130, 140, 144, 148, 150, 156, 160, 168, 175, 180, 182, 185, 192, 195, 200, 208, 210, 222, 224, 225, 234, 240, 250, 252, 259, 260, 273, 280, 288, 296, 300, 312, 315, 320, 325, 333, 336, 350, 360, 364, 370, 375, 384, 390, 400, 416, 420, 444, 448, 450, 455, 468, 480, 481, 500, 504, 518, 520, 525, 546, 555, 560, 576, 585, 592, 600, 624, 625, 630, 640, 650, 666, 672, 700, 720, 728, 740, 750, 777, 780, 800, 819, 832, 840, 875, 888, 896, 900, 910, 925, 936, 960, 962, 975, 1000, 1008, 1036, 1040, 1050, 1092, 1110, 1120, 1125, 1152, 1170, 1184, 1200, 1248, 1250, 1260, 1295, 1300, 1332, 1344, 1365, 1400, 1440, 1443, 1456, 1480, 1500, 1554, 1560, 1575, 1600, 1625, 1638, 1664, 1665, 1680, 1750, 1776, 1800, 1820, 1850, 1872, 1875, 1920, 1924, 1950, 2000, 2016, 2072, 2080, 2100, 2184, 2220, 2240, 2250, 2275, 2331, 2340, 2368, 2400, 2405, 2496, 2500, 2520, 2590, 2600, 2625, 2664, 2688, 2730, 2775, 2800, 2880, 2886, 2912, 2925, 2960, 3000, 3108, 3120, 3125, 3150, 3200, 3250, 3276, 3330, 3360, 3367, 3500, 3552, 3600, 3640, 3700, 3744, 3750, 3848, 3885, 3900, 4000, 4032, 4095, 4144, 4160, 4200, 4329, 4368, 4375, 4440, 4480, 4500, 4550, 4625, 4662, 4680, 4736, 4800, 4810, 4875, 4992, 5000, 5040, 5180, 5200, 5250, 5328, 5460, 5550, 5600, 5625, 5760, 5772, 5824, 5850, 5920, 6000, 6216, 6240, 6250, 6300, 6475, 6500, 6552, 6660, 6720, 6734, 6825, 7000, 7104, 7200, 7215, 7280, 7400, 7488, 7500, 7696, 7770, 7800, 7875, 8000, 8064, 8125, 8190, 8288, 8320, 8325, 8400, 8658, 8736, 8750, 8880, 9000, 9100, 9250, 9324, 9360, 9375, 9600, 9620, 9750, 10000, 10080, 10101, 10360, 10400, 10500, 10656, 10920, 11100, 11200, 11250, 11375, 11544, 11648, 11655, 11700, 11840, 12000, 12025, 12432, 12480, 12500, 12600, 12950, 13000, 13104, 13125, 13320, 13440, 13468, 13650, 13875, 14000, 14208, 14400, 14430, 14560, 14625, 14800, 14976, 15000, 15392, 15540, 15600, 15750, 16000, 16250, 16380, 16576, 16650, 16800, 16835, 17316, 17472, 17500, 17760, 18000, 18200, 18500, 18648, 18720, 18750, 19240, 19425, 19500, 20000, 20160, 20202, 20475, 20720, 20800, 21000, 21312, 21645, 21840, 21875, 22200, 22400, 22500, 22750, 23088, 23125, 23310, 23400, 23680, 24000, 24050, 24375, 24864, 24960, 25000, 25200, 25900, 26000, 26208, 26250, 26640, 26936, 27300, 27750, 28000, 28125, 28800, 28860, 29120, 29250, 29600, 30000, 30303, 30784, 31080, 31200, 31500, 32375, 32500, 32760, 33152, 33300, 33600, 33670, 34125, 34632, 34944, 35000, 35520, 36000, 36075, 36400, 37000, 37296, 37440, 37500, 38480, 38850, 39000, 39375, 40000, 40320, 40404, 40625, 40950, 41440, 41600, 41625, 42000, 42624, 43290, 43680, 43750, 44400, 45000, 45500, 46176, 46250, 46620, 46800, 48000, 48100, 48750, 49728, 50000, 50400, 50505, 51800, 52000, 52416, 52500, 53280, 53872, 54600, 55500, 56000, 56250, 56875, 57720, 58240, 58275, 58500, 59200, 60000, 60125, 60606, 61568, 62160, 62400, 63000, 64750, 65000, 65520, 65625, 66600, 67200, 67340, 68250, 69264, 69375, 70000, 71040, 72000, 72150, 72800, 73125, 74000, 74592, 74880, 75000, 76960, 77700, 78000, 78750, 80000, 80808, 81250, 81900, 82880, 83250, 84000, 84175, 86580, 87360, 87500, 88800, 90000, 91000, 92352, 92500, 93240, 93600, 96200, 97125, 97500, 99456, 100000, 100800, 101010, 102375, 103600, 104000, 104832, 105000, 106560, 107744, 108225, 109200, 111000, 112000, 112500, 113750, 115440, 115625, 116550, 117000, 118400, 120000, 120250, 121212, 121875, 124320, 124800, 126000, 129500, 130000, 131040, 131250, 133200, 134680, 136500, 138528, 138750, 140000, 144000, 144300, 145600, 146250, 148000, 149184, 150000, 151515, 153920, 155400, 156000, 157500, 161616, 161875, 162500, 163800, 165760, 166500, 168000, 168350, 170625, 173160, 174720, 175000, 177600, 180000, 180375, 182000, 184704, 185000, 186480, 187200, 192400, 194250, 195000, 196875, 200000, 201600, 202020, 204750, 207200, 208000, 208125, 210000, 213120, 215488, 216450, 218400, 222000, 225000, 227500, 230880, 231250, 233100, 234000, 240000, 240500, 242424, 243750, 248640, 252000, 252525, 259000, 260000, 262080, 262500, 266400, 269360, 273000, 277056, 277500, 280000, 284375, 288600, 291200, 291375, 292500, 296000, 298368, 300000, 300625, 303030, 307840, 310800, 312000, 315000, 323232, 323750, 325000, 327600, 333000, 336000, 336700, 341250, 346320, 346875, 350000, 355200, 360000, 360750, 364000, 365625, 370000, 372960, 374400, 384800, 388500, 390000, 393750, 400000, 404040, 409500, 414400, 416250, 420000, 420875, 430976, 432900, 436800, 444000, 450000, 455000, 461760, 462500, 466200, 468000, 481000, 484848, 485625, 487500, 497280, 504000, 505050, 511875, 518000, 520000, 524160, 525000, 532800, 538720, 541125, 546000, 554112, 555000, 560000, 568750, 577200, 582750, 585000, 592000, 600000, 601250, 606060, 621600, 624000, 630000, 646464, 647500, 650000, 655200, 666000, 673400, 682500, 692640, 693750, 700000, 720000, 721500, 728000, 731250, 740000, 745920, 757575, 769600, 777000, 780000, 787500, 808080, 809375, 819000, 828800, 832500, 840000, 841750, 853125, 865800, 873600, 888000, 900000, 901875, 910000, 923520, 925000, 932400, 936000, 962000, 969696, 971250, 975000, 1008000, 1010100, 1023750, 1036000, 1040000, 1040625, 1050000, 1065600, 1077440, 1082250, 1092000, 1110000, 1137500, 1154400, 1165500, 1170000, 1200000, 1202500, 1212120, 1243200, 1260000, 1262625, 1292928, 1295000, 1300000, 1310400, 1332000, 1346800, 1365000, 1385280, 1387500, 1400000, 1443000, 1456000, 1456875, 1462500, 1480000, 1491840, 1503125, 1515150, 1539200, 1554000, 1560000, 1575000, 1616160, 1618750, 1638000, 1665000, 1680000, 1683500, 1706250, 1731600, 1776000, 1800000, 1803750, 1820000, 1850000, 1864800, 1872000, 1924000, 1939392, 1942500, 1950000, 2020200, 2047500, 2072000, 2081250, 2100000, 2104375, 2154880, 2164500, 2184000, 2220000, 2275000, 2308800, 2331000, 2340000, 2405000, 2424240, 2428125, 2486400, 2520000, 2525250, 2559375, 2590000, 2600000, 2620800, 2664000, 2693600, 2705625, 2730000, 2770560, 2775000, 2800000, 2886000, 2913750, 2925000, 2960000, 3006250, 3030300, 3108000, 3120000, 3150000, 3232320, 3237500, 3276000, 3330000, 3367000, 3412500, 3463200, 3600000, 3607500, 3640000, 3700000, 3729600, 3787875, 3848000, 3878784, 3885000, 3900000, 4040400, 4095000, 4144000, 4162500, 4200000, 4208750, 4329000, 4368000, 4440000, 4509375, 4550000, 4617600, 4662000, 4680000, 4810000, 4848480, 4856250, 5040000, 5050500, 5118750, 5180000, 5200000, 5328000, 5387200, 5411250, 5460000, 5550000, 5772000, 5827500, 5850000, 6012500, 6060600, 6216000, 6300000, 6313125, 6464640, 6475000, 6552000, 6660000, 6734000, 6825000, 6926400, 7215000, 7280000, 7284375, 7400000, 7459200, 7575750, 7696000, 7770000, 7800000, 8080800, 8190000, 8325000, 8400000, 8417500, 8658000, 8880000, 9018750, 9100000, 9324000, 9360000, 9620000, 9696960, 9712500, 10101000, 10237500, 10360000, 10521875, 10774400, 10822500, 10920000, 11100000, 11544000, 11655000, 11700000, 12025000, 12121200, 12432000, 12600000, 12626250, 12950000, 13104000, 13320000, 13468000, 13528125, 13650000, 13852800, 14430000, 14568750, 14800000, 15151500, 15540000, 15600000, 16161600, 16380000, 16650000, 16835000, 17316000, 18037500, 18200000, 18648000, 18939375, 19240000, 19393920, 19425000, 20202000, 20475000, 20720000, 21043750, 21645000, 21840000, 22200000, 23088000, 23310000, 23400000, 24050000, 24242400, 25200000, 25252500, 25900000, 26640000, 26936000, 27056250, 27300000, 28860000, 29137500, 30303000, 31080000, 31565625, 32323200, 32760000, 33300000, 33670000, 34632000, 36075000, 36400000, 37296000, 37878750, 38480000, 38850000, 40404000, 40950000, 42087500, 43290000, 44400000, 46620000, 46800000, 48100000, 48484800, 50505000, 51800000, 53872000, 54112500, 54600000, 57720000, 58275000, 60606000, 62160000, 63131250, 65520000, 66600000, 67340000, 69264000, 72150000, 75757500, 77700000, 80808000, 81900000, 84175000, 86580000, 93240000, 94696875, 96200000, 96969600, 101010000, 103600000, 108225000, 109200000, 115440000, 116550000, 121212000, 126262500, 133200000, 134680000, 144300000, 151515000, 155400000, 161616000, 163800000, 168350000, 173160000, 186480000, 189393750, 192400000, 202020000, 216450000, 233100000, 242424000, 252525000, 269360000, 288600000, 303030000, 310800000, 327600000, 336700000, 346320000, 378787500, 404040000, 432900000, 466200000, 484848000, 505050000, 577200000, 606060000, 673400000, 757575000, 808080000, 865800000, 932400000, 1010100000, 1212120000, 1346800000, 1515150000, 1731600000, 2020200000, 2424240000, 3030300000, 4040400000, 6060600000, 12121200000]

約数ペア:

[(1, 12121200000), (2, 6060600000), (3, 4040400000), (4, 3030300000), (5, 2424240000), (6, 2020200000), (7, 1731600000), (8, 1515150000), (9, 1346800000), (10, 1212120000), (12, 1010100000), (13, 932400000), (14, 865800000), (15, 808080000), (16, 757575000), (18, 673400000), (20, 606060000), (21, 577200000), (24, 505050000), (25, 484848000), (26, 466200000), (28, 432900000), (30, 404040000), (32, 378787500), (35, 346320000), (36, 336700000), (37, 327600000), (39, 310800000), (40, 303030000), (42, 288600000), (45, 269360000), (48, 252525000), (50, 242424000), (52, 233100000), (56, 216450000), (60, 202020000), (63, 192400000), (64, 189393750), (65, 186480000), (70, 173160000), (72, 168350000), (74, 163800000), (75, 161616000), (78, 155400000), (80, 151515000), (84, 144300000), (90, 134680000), (91, 133200000), (96, 126262500), (100, 121212000), (104, 116550000), (105, 115440000), (111, 109200000), (112, 108225000), (117, 103600000), (120, 101010000), (125, 96969600), (126, 96200000), (128, 94696875), (130, 93240000), (140, 86580000), (144, 84175000), (148, 81900000), (150, 80808000), (156, 77700000), (160, 75757500), (168, 72150000), (175, 69264000), (180, 67340000), (182, 66600000), (185, 65520000), (192, 63131250), (195, 62160000), (200, 60606000), (208, 58275000), (210, 57720000), (222, 54600000), (224, 54112500), (225, 53872000), (234, 51800000), (240, 50505000), (250, 48484800), (252, 48100000), (259, 46800000), (260, 46620000), (273, 44400000), (280, 43290000), (288, 42087500), (296, 40950000), (300, 40404000), (312, 38850000), (315, 38480000), (320, 37878750), (325, 37296000), (333, 36400000), (336, 36075000), (350, 34632000), (360, 33670000), (364, 33300000), (370, 32760000), (375, 32323200), (384, 31565625), (390, 31080000), (400, 30303000), (416, 29137500), (420, 28860000), (444, 27300000), (448, 27056250), (450, 26936000), (455, 26640000), (468, 25900000), (480, 25252500), (481, 25200000), (500, 24242400), (504, 24050000), (518, 23400000), (520, 23310000), (525, 23088000), (546, 22200000), (555, 21840000), (560, 21645000), (576, 21043750), (585, 20720000), (592, 20475000), (600, 20202000), (624, 19425000), (625, 19393920), (630, 19240000), (640, 18939375), (650, 18648000), (666, 18200000), (672, 18037500), (700, 17316000), (720, 16835000), (728, 16650000), (740, 16380000), (750, 16161600), (777, 15600000), (780, 15540000), (800, 15151500), (819, 14800000), (832, 14568750), (840, 14430000), (875, 13852800), (888, 13650000), (896, 13528125), (900, 13468000), (910, 13320000), (925, 13104000), (936, 12950000), (960, 12626250), (962, 12600000), (975, 12432000), (1000, 12121200), (1008, 12025000), (1036, 11700000), (1040, 11655000), (1050, 11544000), (1092, 11100000), (1110, 10920000), (1120, 10822500), (1125, 10774400), (1152, 10521875), (1170, 10360000), (1184, 10237500), (1200, 10101000), (1248, 9712500), (1250, 9696960), (1260, 9620000), (1295, 9360000), (1300, 9324000), (1332, 9100000), (1344, 9018750), (1365, 8880000), (1400, 8658000), (1440, 8417500), (1443, 8400000), (1456, 8325000), (1480, 8190000), (1500, 8080800), (1554, 7800000), (1560, 7770000), (1575, 7696000), (1600, 7575750), (1625, 7459200), (1638, 7400000), (1664, 7284375), (1665, 7280000), (1680, 7215000), (1750, 6926400), (1776, 6825000), (1800, 6734000), (1820, 6660000), (1850, 6552000), (1872, 6475000), (1875, 6464640), (1920, 6313125), (1924, 6300000), (1950, 6216000), (2000, 6060600), (2016, 6012500), (2072, 5850000), (2080, 5827500), (2100, 5772000), (2184, 5550000), (2220, 5460000), (2240, 5411250), (2250, 5387200), (2275, 5328000), (2331, 5200000), (2340, 5180000), (2368, 5118750), (2400, 5050500), (2405, 5040000), (2496, 4856250), (2500, 4848480), (2520, 4810000), (2590, 4680000), (2600, 4662000), (2625, 4617600), (2664, 4550000), (2688, 4509375), (2730, 4440000), (2775, 4368000), (2800, 4329000), (2880, 4208750), (2886, 4200000), (2912, 4162500), (2925, 4144000), (2960, 4095000), (3000, 4040400), (3108, 3900000), (3120, 3885000), (3125, 3878784), (3150, 3848000), (3200, 3787875), (3250, 3729600), (3276, 3700000), (3330, 3640000), (3360, 3607500), (3367, 3600000), (3500, 3463200), (3552, 3412500), (3600, 3367000), (3640, 3330000), (3700, 3276000), (3744, 3237500), (3750, 3232320), (3848, 3150000), (3885, 3120000), (3900, 3108000), (4000, 3030300), (4032, 3006250), (4095, 2960000), (4144, 2925000), (4160, 2913750), (4200, 2886000), (4329, 2800000), (4368, 2775000), (4375, 2770560), (4440, 2730000), (4480, 2705625), (4500, 2693600), (4550, 2664000), (4625, 2620800), (4662, 2600000), (4680, 2590000), (4736, 2559375), (4800, 2525250), (4810, 2520000), (4875, 2486400), (4992, 2428125), (5000, 2424240), (5040, 2405000), (5180, 2340000), (5200, 2331000), (5250, 2308800), (5328, 2275000), (5460, 2220000), (5550, 2184000), (5600, 2164500), (5625, 2154880), (5760, 2104375), (5772, 2100000), (5824, 2081250), (5850, 2072000), (5920, 2047500), (6000, 2020200), (6216, 1950000), (6240, 1942500), (6250, 1939392), (6300, 1924000), (6475, 1872000), (6500, 1864800), (6552, 1850000), (6660, 1820000), (6720, 1803750), (6734, 1800000), (6825, 1776000), (7000, 1731600), (7104, 1706250), (7200, 1683500), (7215, 1680000), (7280, 1665000), (7400, 1638000), (7488, 1618750), (7500, 1616160), (7696, 1575000), (7770, 1560000), (7800, 1554000), (7875, 1539200), (8000, 1515150), (8064, 1503125), (8125, 1491840), (8190, 1480000), (8288, 1462500), (8320, 1456875), (8325, 1456000), (8400, 1443000), (8658, 1400000), (8736, 1387500), (8750, 1385280), (8880, 1365000), (9000, 1346800), (9100, 1332000), (9250, 1310400), (9324, 1300000), (9360, 1295000), (9375, 1292928), (9600, 1262625), (9620, 1260000), (9750, 1243200), (10000, 1212120), (10080, 1202500), (10101, 1200000), (10360, 1170000), (10400, 1165500), (10500, 1154400), (10656, 1137500), (10920, 1110000), (11100, 1092000), (11200, 1082250), (11250, 1077440), (11375, 1065600), (11544, 1050000), (11648, 1040625), (11655, 1040000), (11700, 1036000), (11840, 1023750), (12000, 1010100), (12025, 1008000), (12432, 975000), (12480, 971250), (12500, 969696), (12600, 962000), (12950, 936000), (13000, 932400), (13104, 925000), (13125, 923520), (13320, 910000), (13440, 901875), (13468, 900000), (13650, 888000), (13875, 873600), (14000, 865800), (14208, 853125), (14400, 841750), (14430, 840000), (14560, 832500), (14625, 828800), (14800, 819000), (14976, 809375), (15000, 808080), (15392, 787500), (15540, 780000), (15600, 777000), (15750, 769600), (16000, 757575), (16250, 745920), (16380, 740000), (16576, 731250), (16650, 728000), (16800, 721500), (16835, 720000), (17316, 700000), (17472, 693750), (17500, 692640), (17760, 682500), (18000, 673400), (18200, 666000), (18500, 655200), (18648, 650000), (18720, 647500), (18750, 646464), (19240, 630000), (19425, 624000), (19500, 621600), (20000, 606060), (20160, 601250), (20202, 600000), (20475, 592000), (20720, 585000), (20800, 582750), (21000, 577200), (21312, 568750), (21645, 560000), (21840, 555000), (21875, 554112), (22200, 546000), (22400, 541125), (22500, 538720), (22750, 532800), (23088, 525000), (23125, 524160), (23310, 520000), (23400, 518000), (23680, 511875), (24000, 505050), (24050, 504000), (24375, 497280), (24864, 487500), (24960, 485625), (25000, 484848), (25200, 481000), (25900, 468000), (26000, 466200), (26208, 462500), (26250, 461760), (26640, 455000), (26936, 450000), (27300, 444000), (27750, 436800), (28000, 432900), (28125, 430976), (28800, 420875), (28860, 420000), (29120, 416250), (29250, 414400), (29600, 409500), (30000, 404040), (30303, 400000), (30784, 393750), (31080, 390000), (31200, 388500), (31500, 384800), (32375, 374400), (32500, 372960), (32760, 370000), (33152, 365625), (33300, 364000), (33600, 360750), (33670, 360000), (34125, 355200), (34632, 350000), (34944, 346875), (35000, 346320), (35520, 341250), (36000, 336700), (36075, 336000), (36400, 333000), (37000, 327600), (37296, 325000), (37440, 323750), (37500, 323232), (38480, 315000), (38850, 312000), (39000, 310800), (39375, 307840), (40000, 303030), (40320, 300625), (40404, 300000), (40625, 298368), (40950, 296000), (41440, 292500), (41600, 291375), (41625, 291200), (42000, 288600), (42624, 284375), (43290, 280000), (43680, 277500), (43750, 277056), (44400, 273000), (45000, 269360), (45500, 266400), (46176, 262500), (46250, 262080), (46620, 260000), (46800, 259000), (48000, 252525), (48100, 252000), (48750, 248640), (49728, 243750), (50000, 242424), (50400, 240500), (50505, 240000), (51800, 234000), (52000, 233100), (52416, 231250), (52500, 230880), (53280, 227500), (53872, 225000), (54600, 222000), (55500, 218400), (56000, 216450), (56250, 215488), (56875, 213120), (57720, 210000), (58240, 208125), (58275, 208000), (58500, 207200), (59200, 204750), (60000, 202020), (60125, 201600), (60606, 200000), (61568, 196875), (62160, 195000), (62400, 194250), (63000, 192400), (64750, 187200), (65000, 186480), (65520, 185000), (65625, 184704), (66600, 182000), (67200, 180375), (67340, 180000), (68250, 177600), (69264, 175000), (69375, 174720), (70000, 173160), (71040, 170625), (72000, 168350), (72150, 168000), (72800, 166500), (73125, 165760), (74000, 163800), (74592, 162500), (74880, 161875), (75000, 161616), (76960, 157500), (77700, 156000), (78000, 155400), (78750, 153920), (80000, 151515), (80808, 150000), (81250, 149184), (81900, 148000), (82880, 146250), (83250, 145600), (84000, 144300), (84175, 144000), (86580, 140000), (87360, 138750), (87500, 138528), (88800, 136500), (90000, 134680), (91000, 133200), (92352, 131250), (92500, 131040), (93240, 130000), (93600, 129500), (96200, 126000), (97125, 124800), (97500, 124320), (99456, 121875), (100000, 121212), (100800, 120250), (101010, 120000), (102375, 118400), (103600, 117000), (104000, 116550), (104832, 115625), (105000, 115440), (106560, 113750), (107744, 112500), (108225, 112000), (109200, 111000)]