122582656512 has 120 divisors (see below), whose sum is σ = 354855089160. Its totient is φ = 40736931840.

The previous prime is 122582656507. The next prime is 122582656523. The reversal of 122582656512 is 215656285221.

122582656512 is a `hidden beast` number, since 1 + 2 + 2 + 5 + 82 + 6 + 56 + 512 = 666.

122582656512 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×122582656512² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1485064 + ... + 1565432.

It is an arithmetic number, because the mean of its divisors is an integer number (2957125743).

Almost surely, 2^122582656512 is an apocalyptic number.

122582656512 is a gapful number since it is divisible by the number (12) 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 122582656512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177427544580).

122582656512 is an abundant number, since it is smaller than the sum of its proper divisors (232272432648).

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

122582656512 is an equidigital number, since it uses as much as digits as its factorization.

122582656512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 80724 (or 80705 counting only the distinct ones).

The product of its digits is 576000, while the sum is 45.

The spelling of 122582656512 in words is "one hundred twenty-two billion, five hundred eighty-two million, six hundred fifty-six thousand, five hundred twelve".