312220121022213 has 32 divisors (see below), whose sum is σ = 446287577976576. Its totient is φ = 193649019429888.

The previous prime is 312220121022163. The next prime is 312220121022233.

312220121022213 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 312220121022213 - 2⁹ = 312220121021701 is a prime.

It is a super-2 number, since 2×312220121022213² (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 (312220121022233) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 13711206 + ... + 28503287.

It is an arithmetic number, because the mean of its divisors is an integer number (13946486811768).

Almost surely, 2^{312220121022213} is an apocalyptic number.

It is an amenable number.

312220121022213 is a deficient number, since it is larger than the sum of its proper divisors (134067456954363).

312220121022213 is a wasteful number, since it uses less digits than its factorization.

312220121022213 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42217453.

The product of its (nonzero) digits is 1152, while the sum is 24.

The spelling of 312220121022213 in words is "three hundred twelve trillion, two hundred twenty billion, one hundred twenty-one million, twenty-two thousand, two hundred thirteen".