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12992159711232 = 21536131723107
BaseRepresentation
bin1011110100001111100100…
…0100001000000000000000
31201000001000221121121000000
42331003321010020000000
53200330420341224412
643344303224000000
72510436554265552
oct275037104100000
951001027547000
1012992159711232
114159a424a77a9
121559b74000000
137332035644b0
1432cb76a534d2
15177e511d84dc
hexbd0f9108000

12992159711232 has 1792 divisors, whose sum is σ = 46787409889920. Its totient is φ = 3565217120256.

The previous prime is 12992159711221. The next prime is 12992159711281. The reversal of 12992159711232 is 23211795129921.

12992159711232 is a `hidden beast` number, since 1 + 2 + 9 + 9 + 2 + 1 + 597 + 1 + 12 + 32 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 121422053323 + ... + 121422053429.

Almost surely, 212992159711232 is an apocalyptic number.

12992159711232 is a gapful number since it is divisible by the number (12) 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 12992159711232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23393704944960).

12992159711232 is an abundant number, since it is smaller than the sum of its proper divisors (33795250178688).

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

12992159711232 is an equidigital number, since it uses as much as digits as its factorization.

12992159711232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 208 (or 165 counting only the distinct ones).

The product of its digits is 1224720, while the sum is 54.

The spelling of 12992159711232 in words is "twelve trillion, nine hundred ninety-two billion, one hundred fifty-nine million, seven hundred eleven thousand, two hundred thirty-two".