122912786432 has 108 divisors (see below), whose sum is σ = 251843445945. Its totient is φ = 59972935680.

The previous prime is 122912786429. The next prime is 122912786471. The reversal of 122912786432 is 234687219221.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 2 ways, for example, as 83257639936 + 39655146496 = 288544^2 + 199136^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=247904.

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 967817153 + ... + 967817279.

Almost surely, 2^122912786432 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 122912786432

122912786432 is an abundant number, since it is smaller than the sum of its proper divisors (128930659513).

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

122912786432 is an frugal number, since it uses more digits than its factorization.

122912786432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 398 (or 190 counting only the distinct ones).

The product of its digits is 580608, while the sum is 47.

The spelling of 122912786432 in words is "one hundred twenty-two billion, nine hundred twelve million, seven hundred eighty-six thousand, four hundred thirty-two".