122578057728 has 640 divisors, whose sum is σ = 442289548800. Its totient is φ = 32721076224.

The previous prime is 122578057639. The next prime is 122578057729. The reversal of 122578057728 is 827750875221.

It is a happy number.

122578057728 is a `hidden beast` number, since 12 + 2 + 57 + 8 + 0 + 577 + 2 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (122578057729) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 442519926 + ... + 442520202.

It is an arithmetic number, because the mean of its divisors is an integer number (691077420).

Almost surely, 2^122578057728 is an apocalyptic number.

122578057728 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 122578057728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (221144774400).

122578057728 is an abundant number, since it is smaller than the sum of its proper divisors (319711491072).

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

122578057728 is a wasteful number, since it uses less digits than its factorization.

122578057728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 597 (or 575 counting only the distinct ones).

The product of its (nonzero) digits is 4390400, while the sum is 54.

The spelling of 122578057728 in words is "one hundred twenty-two billion, five hundred seventy-eight million, fifty-seven thousand, seven hundred twenty-eight".