312123120 has 80 divisors (see below), whose sum is σ = 993760800. Its totient is φ = 80980992.

The previous prime is 312123109. The next prime is 312123137. The reversal of 312123120 is 21321213.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 312123120.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8695 + ... + 26454.

It is an arithmetic number, because the mean of its divisors is an integer number (12422010).

Almost surely, 2^312123120 is an apocalyptic number.

312123120 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

312123120 is an abundant number, since it is smaller than the sum of its proper divisors (681637680).

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

312123120 is a wasteful number, since it uses less digits than its factorization.

312123120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35202 (or 35196 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

The square root of 312123120 is about 17667.0065376113. The cubic root of 312123120 is about 678.3314918174.

Adding to 312123120 its reverse (21321213), we get a palindrome (333444333).

It can be divided in two parts, 3121231 and 20, that added together give a triangular number (3121251 = T₂₄₉₈).

The spelling of 312123120 in words is "three hundred twelve million, one hundred twenty-three thousand, one hundred twenty".