122312104204032 has 108 divisors (see below), whose sum is σ = 352838402304024. Its totient is φ = 40749607987200.

The previous prime is 122312104204019. The next prime is 122312104204039. The reversal of 122312104204032 is 230402401213221.

122312104204032 is a `hidden beast` number, since 1 + 2 + 2 + 3 + 1 + 210 + 42 + 0 + 403 + 2 = 666.

It is a super-3 number, since 3×122312104204032³ (a number of 43 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 122312104203987 and 122312104204005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122312104204039) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 9278094 + ... + 18185357.

Almost surely, 2^{122312104204032} is an apocalyptic number.

122312104204032 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

122312104204032 is an abundant number, since it is smaller than the sum of its proper divisors (230526298099992).

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

122312104204032 is a wasteful number, since it uses less digits than its factorization.

122312104204032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27465406 (or 27465389 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 122312104204032 its reverse (230402401213221), we get a palindrome (352714505417253).

The spelling of 122312104204032 in words is "one hundred twenty-two trillion, three hundred twelve billion, one hundred four million, two hundred four thousand, thirty-two".