125616232992 has 192 divisors, whose sum is σ = 358277230080. Its totient is φ = 38382833664.

The previous prime is 125616232991. The next prime is 125616233063. The reversal of 125616232992 is 299232616521.

It is a super-2 number, since 2×125616232992² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (125616232991) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 26594343 + ... + 26599065.

It is an arithmetic number, because the mean of its divisors is an integer number (1866027240).

Almost surely, 2^125616232992 is an apocalyptic number.

125616232992 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 125616232992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179138615040).

125616232992 is an abundant number, since it is smaller than the sum of its proper divisors (232660997088).

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

125616232992 is a wasteful number, since it uses less digits than its factorization.

125616232992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5175 (or 5167 counting only the distinct ones).

The product of its digits is 699840, while the sum is 48.

The spelling of 125616232992 in words is "one hundred twenty-five billion, six hundred sixteen million, two hundred thirty-two thousand, nine hundred ninety-two".