312112223201 has 2 divisors, whose sum is σ = 312112223202. Its totient is φ = 312112223200.

The previous prime is 312112223191. The next prime is 312112223207. The reversal of 312112223201 is 102322211213.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 290089960000 + 22022263201 = 538600^2 + 148399^2 .

It is a cyclic number.

It is not a de Polignac number, because 312112223201 - 2¹⁴ = 312112206817 is a prime.

It is not a weakly prime, because it can be changed into another prime (312112223207) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 156056111600 + 156056111601.

It is an arithmetic number, because the mean of its divisors is an integer number (156056111601).

Almost surely, 2^312112223201 is an apocalyptic number.

It is an amenable number.

312112223201 is a deficient number, since it is larger than the sum of its proper divisors (1).

312112223201 is an equidigital number, since it uses as much as digits as its factorization.

312112223201 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 288, while the sum is 20.

Adding to 312112223201 its reverse (102322211213), we get a palindrome (414434434414).

The spelling of 312112223201 in words is "three hundred twelve billion, one hundred twelve million, two hundred twenty-three thousand, two hundred one".