312241142209 has 2 divisors, whose sum is σ = 312241142210. Its totient is φ = 312241142208.

The previous prime is 312241142197. The next prime is 312241142219. The reversal of 312241142209 is 902241142213.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 312095409025 + 145733184 = 558655^2 + 12072^2 .

It is an emirp because it is prime and its reverse (902241142213) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 312241142209 - 2⁵ = 312241142177 is a prime.

It is a super-2 number, since 2×312241142209² (a number of 24 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (312241142219) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 156120571104 + 156120571105.

It is an arithmetic number, because the mean of its divisors is an integer number (156120571105).

Almost surely, 2^312241142209 is an apocalyptic number.

It is an amenable number.

312241142209 is a deficient number, since it is larger than the sum of its proper divisors (1).

312241142209 is an equidigital number, since it uses as much as digits as its factorization.

312241142209 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 6912, while the sum is 31.

The spelling of 312241142209 in words is "three hundred twelve billion, two hundred forty-one million, one hundred forty-two thousand, two hundred nine".