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12610764662120 = 235618363439817
BaseRepresentation
bin1011011110000010110000…
…1001011110010101101000
31122122120120212112122122022
42313200230021132111220
53123103321223141440
642453145540244012
72441045334666062
oct267405411362550
948576525478568
1012610764662120
114022216987379
1214b80736a0608
13706261596941
14318515792732
1516d07cd42cb5
hexb782c25e568

12610764662120 has 128 divisors (see below), whose sum is σ = 29194408938240. Its totient is φ = 4900561827840.

The previous prime is 12610764662113. The next prime is 12610764662131. The reversal of 12610764662120 is 2126646701621.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1284579452 + ... + 1284589268.

It is an arithmetic number, because the mean of its divisors is an integer number (228081319830).

Almost surely, 212610764662120 is an apocalyptic number.

12610764662120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12610764662120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14597204469120).

12610764662120 is an abundant number, since it is smaller than the sum of its proper divisors (16583644276120).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

12610764662120 is a wasteful number, since it uses less digits than its factorization.

12610764662120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16315 (or 16311 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 44.

The spelling of 12610764662120 in words is "twelve trillion, six hundred ten billion, seven hundred sixty-four million, six hundred sixty-two thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 61 83 122 166 244 305 332 415 488 610 664 830 1220 1660 2440 3320 5063 6343 9817 10126 12686 19634 20252 25315 25372 31715 39268 40504 49085 50630 50744 63430 78536 98170 101260 126860 196340 202520 253720 386923 392680 526469 598837 773846 814811 1052938 1197674 1547692 1629622 1934615 2105876 2395348 2632345 2994185 3095384 3259244 3869230 4074055 4211752 4790696 5264690 5988370 6518488 7738460 8148110 10529380 11976740 15476920 16296220 21058760 23953480 32114609 32592440 49703471 62269231 64229218 99406942 124538462 128458436 160573045 198813884 248517355 249076924 256916872 311346155 321146090 397627768 497034710 498153848 622692310 642292180 994069420 1245384620 1284584360 1988138840 2490769240 3798423091 5168346173 7596846182 10336692346 15193692364 18992115455 20673384692 25841730865 30387384728 37984230910 41346769384 51683461730 75968461820 103366923460 151936923640 206733846920 315269116553 630538233106 1261076466212 1576345582765 2522152932424 3152691165530 6305382331060 12610764662120