122525525120 has 64 divisors (see below), whose sum is σ = 293088189240. Its totient is φ = 48980828160.

The previous prime is 122525525119. The next prime is 122525525137. The reversal of 122525525120 is 21525525221.

122525525120 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 96392862784 + 26132662336 = 310472^2 + 161656^2 .

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (32).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1026980 + ... + 1140060.

Almost surely, 2^122525525120 is an apocalyptic number.

122525525120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

122525525120 is an abundant number, since it is smaller than the sum of its proper divisors (170562664120).

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

122525525120 is a wasteful number, since it uses less digits than its factorization.

122525525120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 114793 (or 114781 counting only the distinct ones).

The product of its (nonzero) digits is 20000, while the sum is 32.

The spelling of 122525525120 in words is "one hundred twenty-two billion, five hundred twenty-five million, five hundred twenty-five thousand, one hundred twenty".