122941772928 has 288 divisors, whose sum is σ = 384370272000. Its totient is φ = 37701421056.

The previous prime is 122941772801. The next prime is 122941772939. The reversal of 122941772928 is 829277149221.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×122941772928² (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 69892113 + ... + 69893871.

It is an arithmetic number, because the mean of its divisors is an integer number (1334619000).

Almost surely, 2^122941772928 is an apocalyptic number.

122941772928 is a gapful number since it is divisible by the number (18) 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 122941772928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (192185136000).

122941772928 is an abundant number, since it is smaller than the sum of its proper divisors (261428499072).

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

122941772928 is a wasteful number, since it uses less digits than its factorization.

122941772928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2164 (or 2136 counting only the distinct ones).

The product of its digits is 2032128, while the sum is 54.

The spelling of 122941772928 in words is "one hundred twenty-two billion, nine hundred forty-one million, seven hundred seventy-two thousand, nine hundred twenty-eight".