312150120 has 64 divisors (see below), whose sum is σ = 952344000. Its totient is φ = 81827328.

The previous prime is 312150101. The next prime is 312150131. The reversal of 312150120 is 21051213.

312150120 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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 312150120.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14965 + ... + 29124.

It is an arithmetic number, because the mean of its divisors is an integer number (14880375).

Almost surely, 2^312150120 is an apocalyptic number.

312150120 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

312150120 is an abundant number, since it is smaller than the sum of its proper divisors (640193880).

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

312150120 is a wasteful number, since it uses less digits than its factorization.

312150120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44162 (or 44158 counting only the distinct ones).

The product of its (nonzero) digits is 60, while the sum is 15.

The square root of 312150120 is about 17667.7706573297. The cubic root of 312150120 is about 678.3510507895.

The spelling of 312150120 in words is "three hundred twelve million, one hundred fifty thousand, one hundred twenty".