312202012223201 has 2 divisors, whose sum is σ = 312202012223202. Its totient is φ = 312202012223200.

The previous prime is 312202012223119. The next prime is 312202012223249. The reversal of 312202012223201 is 102322210202213.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 229921148248801 + 82280863974400 = 15163151^2 + 9070880^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-312202012223201 is a prime.

It is a super-2 number, since 2×312202012223201² (a number of 30 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (312202012222201) 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, 156101006111600 + 156101006111601.

It is an arithmetic number, because the mean of its divisors is an integer number (156101006111601).

Almost surely, 2^{312202012223201} is an apocalyptic number.

It is an amenable number.

312202012223201 is a deficient number, since it is larger than the sum of its proper divisors (1).

312202012223201 is an equidigital number, since it uses as much as digits as its factorization.

312202012223201 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1152, while the sum is 23.

Adding to 312202012223201 its reverse (102322210202213), we get a palindrome (414524222425414).

The spelling of 312202012223201 in words is "three hundred twelve trillion, two hundred two billion, twelve million, two hundred twenty-three thousand, two hundred one".