312012433104201 has 12 divisors (see below), whose sum is σ = 458072898146500. Its totient is φ = 204598316789280.

The previous prime is 312012433104191. The next prime is 312012433104227. The reversal of 312012433104201 is 102401334210213.

312012433104201 is a `hidden beast` number, since 3 + 1 + 2 + 0 + 12 + 433 + 10 + 4 + 201 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 7109289005625 + 304903144098576 = 2666325^2 + 17461476^2 .

It is not a de Polignac number, because 312012433104201 - 2¹⁵ = 312012433071433 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (312012433100201) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 284164328326 + ... + 284164329423.

Almost surely, 2^{312012433104201} is an apocalyptic number.

It is an amenable number.

312012433104201 is a deficient number, since it is larger than the sum of its proper divisors (146060465042299).

312012433104201 is a wasteful number, since it uses less digits than its factorization.

312012433104201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 568328657816 (or 568328657813 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

Adding to 312012433104201 its reverse (102401334210213), we get a palindrome (414413767314414).

The spelling of 312012433104201 in words is "three hundred twelve trillion, twelve billion, four hundred thirty-three million, one hundred four thousand, two hundred one".