312120012 has 48 divisors (see below), whose sum is σ = 754703712. Its totient is φ = 100316160.

The previous prime is 312119993. The next prime is 312120013. The reversal of 312120012 is 210021213.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a self number, because there is not a number n which added to its sum of digits gives 312120012.

It is not an unprimeable number, because it can be changed into a prime (312120013) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 47062 + ... + 53282.

It is an arithmetic number, because the mean of its divisors is an integer number (15722994).

Almost surely, 2^312120012 is an apocalyptic number.

It is an amenable number.

312120012 is an abundant number, since it is smaller than the sum of its proper divisors (442583700).

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

312120012 is a wasteful number, since it uses less digits than its factorization.

312120012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6378 (or 6376 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

The square root of 312120012 is about 17666.9185768204. The cubic root of 312120012 is about 678.3292402900.

Adding to 312120012 its reverse (210021213), we get a palindrome (522141225).

It can be divided in two parts, 3121200 and 12, that multiplied together give a square (37454400 = 6120²).

The spelling of 312120012 in words is "three hundred twelve million, one hundred twenty thousand, twelve".