312042521034201 has 32 divisors (see below), whose sum is σ = 431798835190528. Its totient is φ = 200278806232320.

The previous prime is 312042521034197. The next prime is 312042521034241. The reversal of 312042521034201 is 102430125240213.

It is a happy number.

It is not a de Polignac number, because 312042521034201 - 2² = 312042521034197 is a prime.

It is a super-2 number, since 2×312042521034201² (a number of 30 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (312042521034241) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3110631 + ... + 25174611.

It is an arithmetic number, because the mean of its divisors is an integer number (13493713599704).

Almost surely, 2^{312042521034201} is an apocalyptic number.

It is an amenable number.

312042521034201 is a deficient number, since it is larger than the sum of its proper divisors (119756314156327).

312042521034201 is a wasteful number, since it uses less digits than its factorization.

312042521034201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22065361.

The product of its (nonzero) digits is 11520, while the sum is 30.

Adding to 312042521034201 its reverse (102430125240213), we get a palindrome (414472646274414).

The spelling of 312042521034201 in words is "three hundred twelve trillion, forty-two billion, five hundred twenty-one million, thirty-four thousand, two hundred one".