312123321121 has 2 divisors, whose sum is σ = 312123321122. Its totient is φ = 312123321120.

The previous prime is 312123321091. The next prime is 312123321193. The reversal of 312123321121 is 121123321213.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 275036264721 + 37087056400 = 524439^2 + 192580^2 .

It is a cyclic number.

It is not a de Polignac number, because 312123321121 - 2¹⁵ = 312123288353 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 312123321092 and 312123321101.

It is not a weakly prime, because it can be changed into another prime (312123325121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 156061660560 + 156061660561.

It is an arithmetic number, because the mean of its divisors is an integer number (156061660561).

Almost surely, 2^312123321121 is an apocalyptic number.

It is an amenable number.

312123321121 is a deficient number, since it is larger than the sum of its proper divisors (1).

312123321121 is an equidigital number, since it uses as much as digits as its factorization.

312123321121 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 432, while the sum is 22.

Adding to 312123321121 its reverse (121123321213), we get a palindrome (433246642334).

The spelling of 312123321121 in words is "three hundred twelve billion, one hundred twenty-three million, three hundred twenty-one thousand, one hundred twenty-one".