312312120032 has 48 divisors (see below), whose sum is σ = 672310688112. Its totient is φ = 141632133120.

The previous prime is 312312120031. The next prime is 312312120073. The reversal of 312312120032 is 230021213213.

It is a junction number, because it is equal to n+sod(n) for n = 312312119986 and 312312120013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (312312120031) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 872123 + ... + 1176954.

It is an arithmetic number, because the mean of its divisors is an integer number (14006472669).

Almost surely, 2^312312120032 is an apocalyptic number.

312312120032 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

312312120032 is an abundant number, since it is smaller than the sum of its proper divisors (359998568080).

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

312312120032 is a wasteful number, since it uses less digits than its factorization.

312312120032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2049531 (or 2049523 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 20.

Adding to 312312120032 its reverse (230021213213), we get a palindrome (542333333245).

The spelling of 312312120032 in words is "three hundred twelve billion, three hundred twelve million, one hundred twenty thousand, thirty-two".