122574864768 has 256 divisors, whose sum is σ = 352185926400. Its totient is φ = 37645516800.

The previous prime is 122574864739. The next prime is 122574864791. The reversal of 122574864768 is 867468475221.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 177387303 + ... + 177387993.

It is an arithmetic number, because the mean of its divisors is an integer number (1375726275).

Almost surely, 2^122574864768 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 122574864768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176092963200).

122574864768 is an abundant number, since it is smaller than the sum of its proper divisors (229611061632).

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

122574864768 is a wasteful number, since it uses less digits than its factorization.

122574864768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1361 (or 1349 counting only the distinct ones).

The product of its digits is 36126720, while the sum is 60.

The spelling of 122574864768 in words is "one hundred twenty-two billion, five hundred seventy-four million, eight hundred sixty-four thousand, seven hundred sixty-eight".