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12137331137216 = 2629531031119677
BaseRepresentation
bin1011000010011111000101…
…0011111001101011000000
31120222022120110211201001212
42300213301103321223000
53042324223232342331
641451451332545252
72361615244301525
oct260476123715300
946868513751055
1012137331137216
11395a46000991a
121440367782228
136a071237a91c
142dd6429a114c
15160abe6acd2b
hexb09f14f9ac0

12137331137216 has 112 divisors (see below), whose sum is σ = 25410473375040. Its totient is φ = 5743222517760.

The previous prime is 12137331137203. The next prime is 12137331137251. The reversal of 12137331137216 is 61273113373121.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 101357570 + ... + 101477246.

Almost surely, 212137331137216 is an apocalyptic number.

12137331137216 is a gapful number since it is divisible by the number (16) 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 12137331137216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12705236687520).

12137331137216 is an abundant number, since it is smaller than the sum of its proper divisors (13273142237824).

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

12137331137216 is a wasteful number, since it uses less digits than its factorization.

12137331137216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 120802 (or 120792 counting only the distinct ones).

The product of its digits is 95256, while the sum is 41.

The spelling of 12137331137216 in words is "twelve trillion, one hundred thirty-seven billion, three hundred thirty-one million, one hundred thirty-seven thousand, two hundred sixteen".

Divisors: 1 2 4 8 16 29 32 53 58 64 106 116 212 232 424 464 848 928 1031 1537 1696 1856 2062 3074 3392 4124 6148 8248 12296 16496 24592 29899 32992 49184 54643 59798 65984 98368 109286 119596 119677 218572 239192 239354 437144 478384 478708 874288 956768 957416 1584647 1748576 1913536 1914832 3169294 3470633 3497152 3829664 6338588 6342881 6941266 7659328 12677176 12685762 13882532 25354352 25371524 27765064 50708704 50743048 55530128 101417408 101486096 111060256 123386987 183943549 202972192 222120512 246773974 367887098 405944384 493547948 735774196 987095896 1471548392 1974191792 2943096784 3578222623 3948383584 5886193568 6539510311 7156445246 7896767168 11772387136 13079020622 14312890492 26158041244 28625780984 52316082488 57251561968 104632164976 114503123936 189645799019 209264329952 229006247872 379291598038 418528659904 758583196076 1517166392152 3034332784304 6068665568608 12137331137216