312330013220 has 12 divisors (see below), whose sum is σ = 655893027804. Its totient is φ = 124932005280.

The previous prime is 312330013207. The next prime is 312330013243. The reversal of 312330013220 is 22310033213.

It can be written as a sum of positive squares in 2 ways, for example, as 180910712896 + 131419300324 = 425336^2 + 362518^2 .

It is a Harshad number since it is a multiple of its sum of digits (20), and also a Moran number because the ratio is a prime number: 15616500661 = 312330013220 / (3 + 1 + 2 + 3 + 3 + 0 + 0 + 1 + 3 + 2 + 2 + 0).

It is a junction number, because it is equal to n+sod(n) for n = 312330013192 and 312330013201.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 7808250311 + ... + 7808250350.

It is an arithmetic number, because the mean of its divisors is an integer number (54657752317).

Almost surely, 2^312330013220 is an apocalyptic number.

It is an amenable number.

312330013220 is an abundant number, since it is smaller than the sum of its proper divisors (343563014584).

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

312330013220 is a wasteful number, since it uses less digits than its factorization.

312330013220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15616500670 (or 15616500668 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 20.

Adding to 312330013220 its reverse (22310033213), we get a palindrome (334640046433).

The spelling of 312330013220 in words is "three hundred twelve billion, three hundred thirty million, thirteen thousand, two hundred twenty".