125238597120 has 800 divisors, whose sum is σ = 552163284288. Its totient is φ = 26419986432.

The previous prime is 125238597119. The next prime is 125238597167. The reversal of 125238597120 is 21795832521.

125238597120 is a `hidden beast` number, since 1 + 2 + 5 + 2 + 38 + 597 + 1 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 18866442 + ... + 18873078.

Almost surely, 2^125238597120 is an apocalyptic number.

125238597120 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 125238597120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (276081642144).

125238597120 is an abundant number, since it is smaller than the sum of its proper divisors (426924687168).

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

125238597120 is an equidigital number, since it uses as much as digits as its factorization.

125238597120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6692 (or 6667 counting only the distinct ones).

The product of its (nonzero) digits is 302400, while the sum is 45.

The spelling of 125238597120 in words is "one hundred twenty-five billion, two hundred thirty-eight million, five hundred ninety-seven thousand, one hundred twenty".