122131331121312 has 72 divisors (see below), whose sum is σ = 358514552672640. Its totient is φ = 39397203584640.

The previous prime is 122131331121223. The next prime is 122131331121313. The reversal of 122131331121312 is 213121133131221.

122131331121312 is a `hidden beast` number, since 1 + 2 + 2 + 1 + 3 + 1 + 331 + 12 + 1 + 312 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (122131331121313) 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, 6839783362 + ... + 6839801217.

It is an arithmetic number, because the mean of its divisors is an integer number (4979368787120).

Almost surely, 2^{122131331121312} is an apocalyptic number.

122131331121312 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

122131331121312 is an abundant number, since it is smaller than the sum of its proper divisors (236383221551328).

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

122131331121312 is a wasteful number, since it uses less digits than its factorization.

122131331121312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13679584626 (or 13679584615 counting only the distinct ones).

The product of its digits is 1296, while the sum is 27.

Adding to 122131331121312 its reverse (213121133131221), we get a palindrome (335252464252533).

The spelling of 122131331121312 in words is "one hundred twenty-two trillion, one hundred thirty-one billion, three hundred thirty-one million, one hundred twenty-one thousand, three hundred twelve".