312513120 has 96 divisors (see below), whose sum is σ = 1093811040. Its totient is φ = 83335680.

The previous prime is 312513119. The next prime is 312513133. The reversal of 312513120 is 21315213.

312513120 is a `hidden beast` number, since 31 + 2 + 513 + 120 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 312513093 and 312513102.

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, 31851 + ... + 40490.

It is an arithmetic number, because the mean of its divisors is an integer number (11393865).

Almost surely, 2^312513120 is an apocalyptic number.

312513120 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

312513120 is an abundant number, since it is smaller than the sum of its proper divisors (781297920).

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

312513120 is a wasteful number, since it uses less digits than its factorization.

312513120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72365 (or 72351 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 18.

The square root of 312513120 is about 17678.0406154076. The cubic root of 312513120 is about 678.6139008583.

Adding to 312513120 its reverse (21315213), we get a palindrome (333828333).

The spelling of 312513120 in words is "three hundred twelve million, five hundred thirteen thousand, one hundred twenty".