122239774725120 has 792 divisors, whose sum is σ = 473441194017792. Its totient is φ = 29119094784000.

The previous prime is 122239774725091. The next prime is 122239774725137. The reversal of 122239774725120 is 21527477932221.

122239774725120 is a `hidden beast` number, since 1 + 2 + 2 + 2 + 39 + 77 + 472 + 51 + 20 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 241159945 + ... + 241666295.

It is an arithmetic number, because the mean of its divisors is an integer number (597779285376).

Almost surely, 2^{122239774725120} is an apocalyptic number.

122239774725120 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 122239774725120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (236720597008896).

122239774725120 is an abundant number, since it is smaller than the sum of its proper divisors (351201419292672).

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

122239774725120 is a wasteful number, since it uses less digits than its factorization.

122239774725120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 506439 (or 506405 counting only the distinct ones).

The product of its (nonzero) digits is 5927040, while the sum is 54.

The spelling of 122239774725120 in words is "one hundred twenty-two trillion, two hundred thirty-nine billion, seven hundred seventy-four million, seven hundred twenty-five thousand, one hundred twenty".