122577856128 has 1152 divisors, whose sum is σ = 475297804800. Its totient is φ = 29501521920.

The previous prime is 122577856123. The next prime is 122577856129. The reversal of 122577856128 is 821658775221.

It is a happy number.

122577856128 is a `hidden beast` number, since 1 + 2 + 2 + 5 + 7 + 78 + 561 + 2 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is not an unprimeable number, because it can be changed into a prime (122577856123) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1551618393 + ... + 1551618471.

It is an arithmetic number, because the mean of its divisors is an integer number (412584900).

Almost surely, 2^122577856128 is an apocalyptic number.

122577856128 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 122577856128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (237648902400).

122577856128 is an abundant number, since it is smaller than the sum of its proper divisors (352719948672).

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

122577856128 is a wasteful number, since it uses less digits than its factorization.

122577856128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 198 (or 164 counting only the distinct ones).

The product of its digits is 3763200, while the sum is 54.

The spelling of 122577856128 in words is "one hundred twenty-two billion, five hundred seventy-seven million, eight hundred fifty-six thousand, one hundred twenty-eight".