312212201993 has 2 divisors, whose sum is σ = 312212201994. Its totient is φ = 312212201992.

The previous prime is 312212201933. The next prime is 312212202019. The reversal of 312212201993 is 399102212213.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 233841879184 + 78370322809 = 483572^2 + 279947^2 .

It is a cyclic number.

It is not a de Polignac number, because 312212201993 - 2¹⁴ = 312212185609 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (312212201923) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 156106100996 + 156106100997.

It is an arithmetic number, because the mean of its divisors is an integer number (156106100997).

Almost surely, 2^312212201993 is an apocalyptic number.

It is an amenable number.

312212201993 is a deficient number, since it is larger than the sum of its proper divisors (1).

312212201993 is an equidigital number, since it uses as much as digits as its factorization.

312212201993 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 11664, while the sum is 35.

The spelling of 312212201993 in words is "three hundred twelve billion, two hundred twelve million, two hundred one thousand, nine hundred ninety-three".