312302321211312 has 160 divisors (see below), whose sum is σ = 964714018368960. Its totient is φ = 96371015086080.

The previous prime is 312302321211259. The next prime is 312302321211317. The reversal of 312302321211312 is 213112123203213.

312302321211312 is a `hidden beast` number, since 3 + 1 + 2 + 3 + 0 + 2 + 321 + 21 + 1 + 312 = 666.

It is a super-2 number, since 2×312302321211312² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (312302321211317) 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, 348116163 + ... + 349012130.

It is an arithmetic number, because the mean of its divisors is an integer number (6029462614806).

Almost surely, 2^{312302321211312} is an apocalyptic number.

It is an amenable number.

312302321211312 is an abundant number, since it is smaller than the sum of its proper divisors (652411697157648).

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

312302321211312 is a wasteful number, since it uses less digits than its factorization.

312302321211312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 697128388 (or 697128376 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

Adding to 312302321211312 its reverse (213112123203213), we get a palindrome (525414444414525).

The spelling of 312302321211312 in words is "three hundred twelve trillion, three hundred two billion, three hundred twenty-one million, two hundred eleven thousand, three hundred twelve".