312717120 has 56 divisors (see below), whose sum is σ = 992879904. Its totient is φ = 83390976.

The previous prime is 312717107. The next prime is 312717161. The reversal of 312717120 is 21717213.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 161914 + ... + 163833.

Almost surely, 2^312717120 is an apocalyptic number.

312717120 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

312717120 is an abundant number, since it is smaller than the sum of its proper divisors (680162784).

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

312717120 is a wasteful number, since it uses less digits than its factorization.

312717120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 325767 (or 325757 counting only the distinct ones).

The product of its (nonzero) digits is 588, while the sum is 24.

The square root of 312717120 is about 17683.8095443261. The cubic root of 312717120 is about 678.7615289259.

The spelling of 312717120 in words is "three hundred twelve million, seven hundred seventeen thousand, one hundred twenty".