312224212320021 has 6 divisors (see below), whose sum is σ = 450990528906710. Its totient is φ = 208149474880008.

The previous prime is 312224212319963. The next prime is 312224212320023. The reversal of 312224212320021 is 120023212422213.

312224212320021 is a `hidden beast` number, since 3 + 1 + 2 + 2 + 2 + 421 + 232 + 0 + 0 + 2 + 1 = 666.

It can be written as a sum of positive squares in only one way, i.e., 308891345843025 + 3332866476996 = 17575305^2 + 1825614^2 .

It is not a de Polignac number, because 312224212320021 - 2¹⁷ = 312224212188949 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 (312224212320023) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 17345789573326 + ... + 17345789573343.

Almost surely, 2^{312224212320021} is an apocalyptic number.

It is an amenable number.

312224212320021 is a deficient number, since it is larger than the sum of its proper divisors (138766316586689).

312224212320021 is a wasteful number, since it uses less digits than its factorization.

312224212320021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34691579146675 (or 34691579146672 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 312224212320021 its reverse (120023212422213), we get a palindrome (432247424742234).

The spelling of 312224212320021 in words is "three hundred twelve trillion, two hundred twenty-four billion, two hundred twelve million, three hundred twenty thousand, twenty-one".