312310120 has 64 divisors (see below), whose sum is σ = 743178240. Its totient is φ = 117926400.

The previous prime is 312310099. The next prime is 312310121. The reversal of 312310120 is 21013213.

It is a super-2 number, since 2×312310120² = 195075222108828800, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 312310120.

It is not an unprimeable number, because it can be changed into a prime (312310121) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 47769 + ... + 53911.

It is an arithmetic number, because the mean of its divisors is an integer number (11612160).

Almost surely, 2^312310120 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 312310120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (371589120).

312310120 is an abundant number, since it is smaller than the sum of its proper divisors (430868120).

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

312310120 is a wasteful number, since it uses less digits than its factorization.

312310120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6226 (or 6222 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 13.

The square root of 312310120 is about 17672.2980961730. The cubic root of 312310120 is about 678.4669326705.

Adding to 312310120 its reverse (21013213), we get a palindrome (333323333).

The spelling of 312310120 in words is "three hundred twelve million, three hundred ten thousand, one hundred twenty".