125052400512 has 192 divisors, whose sum is σ = 389052059760. Its totient is φ = 38326763520.

The previous prime is 125052400511. The next prime is 125052400549. The reversal of 125052400512 is 215004250521.

125052400512 is a `hidden beast` number, since 1 + 250 + 5 + 2 + 400 + 5 + 1 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (125052400511) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3832587 + ... + 3865077.

Almost surely, 2^125052400512 is an apocalyptic number.

125052400512 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 125052400512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (194526029880).

125052400512 is an abundant number, since it is smaller than the sum of its proper divisors (263999659248).

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

125052400512 is a wasteful number, since it uses less digits than its factorization.

125052400512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32781 (or 32766 counting only the distinct ones).

The product of its (nonzero) digits is 4000, while the sum is 27.

The spelling of 125052400512 in words is "one hundred twenty-five billion, fifty-two million, four hundred thousand, five hundred twelve".