312120312200001 has 32 divisors (see below), whose sum is σ = 472532636897280. Its totient is φ = 203526239664528.

The previous prime is 312120312199987. The next prime is 312120312200017. The reversal of 312120312200001 is 100002213021213.

312120312200001 is a `hidden beast` number, since 31 + 2 + 120 + 312 + 200 + 0 + 0 + 1 = 666.

It is not a de Polignac number, because 312120312200001 - 2⁷ = 312120312199873 is a prime.

It is not an unprimeable number, because it can be changed into a prime (312120312200401) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 74487691 + ... + 78566256.

It is an arithmetic number, because the mean of its divisors is an integer number (14766644903040).

Almost surely, 2^{312120312200001} is an apocalyptic number.

It is an amenable number.

312120312200001 is a deficient number, since it is larger than the sum of its proper divisors (160412324697279).

312120312200001 is a wasteful number, since it uses less digits than its factorization.

312120312200001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 153055610 (or 153055604 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 312120312200001 its reverse (100002213021213), we get a palindrome (412122525221214).

The spelling of 312120312200001 in words is "three hundred twelve trillion, one hundred twenty billion, three hundred twelve million, two hundred thousand, one".