312842120 has 32 divisors (see below), whose sum is σ = 711811800. Its totient is φ = 123729408.

The previous prime is 312842119. The next prime is 312842149. The reversal of 312842120 is 21248213.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 250842244 + 61999876 = 15838^2 + 7874^2 .

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, 40379 + ... + 47498.

Almost surely, 2^312842120 is an apocalyptic number.

It is an amenable number.

312842120 is an abundant number, since it is smaller than the sum of its proper divisors (398969680).

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

312842120 is a wasteful number, since it uses less digits than its factorization.

312842120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 87977 (or 87973 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 23.

The square root of 312842120 is about 17687.3434975408. The cubic root of 312842120 is about 678.8519555802.

The spelling of 312842120 in words is "three hundred twelve million, eight hundred forty-two thousand, one hundred twenty".