312220032210009 has 240 divisors, whose sum is σ = 623161414307520. Its totient is φ = 153621926922240.

The previous prime is 312220032210007. The next prime is 312220032210017. The reversal of 312220032210009 is 900012230022213.

312220032210009 is a `hidden beast` number, since 3 + 12 + 220 + 0 + 322 + 100 + 0 + 9 = 666.

It is not a de Polignac number, because 312220032210009 - 2¹ = 312220032210007 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (312220032210001) by changing a digit.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 3995763589 + ... + 3995841725.

It is an arithmetic number, because the mean of its divisors is an integer number (2596505892948).

Almost surely, 2^{312220032210009} is an apocalyptic number.

It is an amenable number.

312220032210009 is a deficient number, since it is larger than the sum of its proper divisors (310941382097511).

312220032210009 is a wasteful number, since it uses less digits than its factorization.

312220032210009 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 83010 (or 82994 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The spelling of 312220032210009 in words is "three hundred twelve trillion, two hundred twenty billion, thirty-two million, two hundred ten thousand, nine".