312114012 has 96 divisors (see below), whose sum is σ = 859299840. Its totient is φ = 86331840.

The previous prime is 312114001. The next prime is 312114013. The reversal of 312114012 is 210411213.

It is a super-2 number, since 2×312114012² = 194830312973472288, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 312113982 and 312114000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (312114013) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 351433 + ... + 352319.

It is an arithmetic number, because the mean of its divisors is an integer number (8951040).

Almost surely, 2^312114012 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 312114012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (429649920).

312114012 is an abundant number, since it is smaller than the sum of its proper divisors (547185828).

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

312114012 is a wasteful number, since it uses less digits than its factorization.

312114012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1031 (or 1029 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

The square root of 312114012 is about 17666.7487671048. The cubic root of 312114012 is about 678.3248936697.

Adding to 312114012 its reverse (210411213), we get a palindrome (522525225).

The spelling of 312114012 in words is "three hundred twelve million, one hundred fourteen thousand, twelve".