312112202211213 has 16 divisors (see below), whose sum is σ = 418260188160000. Its totient is φ = 207019605774960.

The previous prime is 312112202211181. The next prime is 312112202211221.

312112202211213 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 312112202211213 - 2⁵ = 312112202211181 is a prime.

It is a super-2 number, since 2×312112202211213² (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (312112202211233) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 792168 + ... + 24997038.

It is an arithmetic number, because the mean of its divisors is an integer number (26141261760000).

Almost surely, 2^{312112202211213} is an apocalyptic number.

It is an amenable number.

312112202211213 is a deficient number, since it is larger than the sum of its proper divisors (106147985948787).

312112202211213 is a wasteful number, since it uses less digits than its factorization.

312112202211213 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24226672.

The product of its (nonzero) digits is 576, while the sum is 24.

It can be divided in two parts, 31211220 and 2211213, that added together give a palindrome (33422433).

The spelling of 312112202211213 in words is "three hundred twelve trillion, one hundred twelve billion, two hundred two million, two hundred eleven thousand, two hundred thirteen".