312357211812 has 144 divisors (see below), whose sum is σ = 841936822272. Its totient is φ = 97302021120.

The previous prime is 312357211763. The next prime is 312357211849. The reversal of 312357211812 is 218112753213.

312357211812 is a `hidden beast` number, since 3 + 1 + 2 + 3 + 572 + 1 + 1 + 81 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 87175773 + ... + 87179355.

It is an arithmetic number, because the mean of its divisors is an integer number (5846783488).

Almost surely, 2^312357211812 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 312357211812, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (420968411136).

312357211812 is an abundant number, since it is smaller than the sum of its proper divisors (529579610460).

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

312357211812 is a wasteful number, since it uses less digits than its factorization.

312357211812 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4578 (or 4573 counting only the distinct ones).

The product of its digits is 20160, while the sum is 36.

The spelling of 312357211812 in words is "three hundred twelve billion, three hundred fifty-seven million, two hundred eleven thousand, eight hundred twelve".