312443331201 has 12 divisors (see below), whose sum is σ = 452169960528. Its totient is φ = 207897280344.

The previous prime is 312443331149. The next prime is 312443331223. The reversal of 312443331201 is 102133344213.

It is a happy number.

312443331201 is a `hidden beast` number, since 3 + 1 + 24 + 433 + 3 + 1 + 201 = 666.

It is a de Polignac number, because none of the positive numbers 2^k-312443331201 is a prime.

It is not an unprimeable number, because it can be changed into a prime (312443331251) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 33184515 + ... + 33193928.

It is an arithmetic number, because the mean of its divisors is an integer number (37680830044).

Almost surely, 2^312443331201 is an apocalyptic number.

It is an amenable number.

312443331201 is a deficient number, since it is larger than the sum of its proper divisors (139726629327).

312443331201 is a wasteful number, since it uses less digits than its factorization.

312443331201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66378972 (or 66378969 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

Adding to 312443331201 its reverse (102133344213), we get a palindrome (414576675414).

The spelling of 312443331201 in words is "three hundred twelve billion, four hundred forty-three million, three hundred thirty-one thousand, two hundred one".