312412444214213 has 12 divisors (see below), whose sum is σ = 366634650991500. Its totient is φ = 265412341982592.

The previous prime is 312412444214203. The next prime is 312412444214407.

312412444214213 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 2 ways, for example, as 38789005398724 + 273623438815489 = 6228082^2 + 16541567^2 .

It is not a de Polignac number, because 312412444214213 - 2⁴ = 312412444214197 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (312412444214203) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 28211340338 + ... + 28211351411.

It is an arithmetic number, because the mean of its divisors is an integer number (30552887582625).

Almost surely, 2^{312412444214213} is an apocalyptic number.

It is an amenable number.

312412444214213 is a deficient number, since it is larger than the sum of its proper divisors (54222206777287).

312412444214213 is a wasteful number, since it uses less digits than its factorization.

312412444214213 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 56422691876 (or 56422691869 counting only the distinct ones).

The product of its digits is 147456, while the sum is 38.

The spelling of 312412444214213 in words is "three hundred twelve trillion, four hundred twelve billion, four hundred forty-four million, two hundred fourteen thousand, two hundred thirteen".