125021082960 has 200 divisors, whose sum is σ = 448224454656. Its totient is φ = 32263453440.

The previous prime is 125021082917. The next prime is 125021083037. The reversal of 125021082960 is 69280120521.

125021082960 is a `hidden beast` number, since 1 + 2 + 502 + 10 + 82 + 9 + 60 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 110304 + ... + 512063.

Almost surely, 2^125021082960 is an apocalyptic number.

125021082960 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 125021082960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (224112227328).

125021082960 is an abundant number, since it is smaller than the sum of its proper divisors (323203371696).

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

125021082960 is a wasteful number, since it uses less digits than its factorization.

125021082960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 622423 (or 622408 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 36.

The spelling of 125021082960 in words is "one hundred twenty-five billion, twenty-one million, eighty-two thousand, nine hundred sixty".