312213414121 has 12 divisors (see below), whose sum is σ = 367267791060. Its totient is φ = 264604623360.

The previous prime is 312213414103. The next prime is 312213414143. The reversal of 312213414121 is 121414312213.

It can be written as a sum of positive squares in 2 ways, for example, as 172889640000 + 139323774121 = 415800^2 + 373261^2 .

It is not a de Polignac number, because 312213414121 - 2⁵ = 312213414089 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (312213415121) 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, 35791720 + ... + 35800441.

It is an arithmetic number, because the mean of its divisors is an integer number (30605649255).

Almost surely, 2^312213414121 is an apocalyptic number.

It is an amenable number.

312213414121 is a deficient number, since it is larger than the sum of its proper divisors (55054376939).

312213414121 is an equidigital number, since it uses as much as digits as its factorization.

312213414121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 71592264 (or 71592257 counting only the distinct ones).

The product of its digits is 1152, while the sum is 25.

Adding to 312213414121 its reverse (121414312213), we get a palindrome (433627726334).

The spelling of 312213414121 in words is "three hundred twelve billion, two hundred thirteen million, four hundred fourteen thousand, one hundred twenty-one".