312223222009009 has 2 divisors, whose sum is σ = 312223222009010. Its totient is φ = 312223222009008.

The previous prime is 312223222008979. The next prime is 312223222009037. The reversal of 312223222009009 is 900900222322213.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 311146774258609 + 1076447750400 = 17639353^2 + 1037520^2 .

It is a cyclic number.

It is not a de Polignac number, because 312223222009009 - 2²⁵ = 312223188454577 is a prime.

It is not a weakly prime, because it can be changed into another prime (312223222009409) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 156111611004504 + 156111611004505.

It is an arithmetic number, because the mean of its divisors is an integer number (156111611004505).

Almost surely, 2^{312223222009009} is an apocalyptic number.

It is an amenable number.

312223222009009 is a deficient number, since it is larger than the sum of its proper divisors (1).

312223222009009 is an equidigital number, since it uses as much as digits as its factorization.

312223222009009 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 46656, while the sum is 37.

The spelling of 312223222009009 in words is "three hundred twelve trillion, two hundred twenty-three billion, two hundred twenty-two million, nine thousand, nine".