312312120 has 64 divisors (see below), whose sum is σ = 986256000. Its totient is φ = 78899328.

The previous prime is 312312103. The next prime is 312312157. The reversal of 312312120 is 21213213.

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 312312120.

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, 66210 + ... + 70769.

It is an arithmetic number, because the mean of its divisors is an integer number (15410250).

Almost surely, 2^312312120 is an apocalyptic number.

312312120 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

312312120 is an abundant number, since it is smaller than the sum of its proper divisors (673943880).

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

312312120 is a wasteful number, since it uses less digits than its factorization.

312312120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 137012 (or 137008 counting only the distinct ones).

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

The square root of 312312120 is about 17672.3546818187. The cubic root of 312312120 is about 678.4683809435.

Adding to 312312120 its reverse (21213213), we get a palindrome (333525333).

The spelling of 312312120 in words is "three hundred twelve million, three hundred twelve thousand, one hundred twenty".