312332202100120 has 128 divisors (see below), whose sum is σ = 713175788082240. Its totient is φ = 123082870947840.

The previous prime is 312332202100091. The next prime is 312332202100241. The reversal of 312332202100120 is 21001202233213.

It is a junction number, because it is equal to n+sod(n) for n = 312332202100091 and 312332202100100.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 13692163515 + ... + 13692186325.

Almost surely, 2^{312332202100120} 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 312332202100120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (356587894041120).

312332202100120 is an abundant number, since it is smaller than the sum of its proper divisors (400843585982120).

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

312332202100120 is a wasteful number, since it uses less digits than its factorization.

312332202100120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27965 (or 27961 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 22.

Adding to 312332202100120 its reverse (21001202233213), we get a palindrome (333333404333333).

The spelling of 312332202100120 in words is "three hundred twelve trillion, three hundred thirty-two billion, two hundred two million, one hundred thousand, one hundred twenty".