312415334145201 has 64 divisors (see below), whose sum is σ = 487034991083520. Its totient is φ = 174451629718080.

The previous prime is 312415334145169. The next prime is 312415334145253. The reversal of 312415334145201 is 102541433514213.

It is not a de Polignac number, because 312415334145201 - 2⁵ = 312415334145169 is a prime.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 312415334145201.

It is not an unprimeable number, because it can be changed into a prime (312415334155201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 500846230 + ... + 501469616.

It is an arithmetic number, because the mean of its divisors is an integer number (7609921735680).

Almost surely, 2^{312415334145201} is an apocalyptic number.

It is an amenable number.

312415334145201 is a deficient number, since it is larger than the sum of its proper divisors (174619656938319).

312415334145201 is a wasteful number, since it uses less digits than its factorization.

312415334145201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 626314.

The product of its (nonzero) digits is 172800, while the sum is 39.

Adding to 312415334145201 its reverse (102541433514213), we get a palindrome (414956767659414).

The spelling of 312415334145201 in words is "three hundred twelve trillion, four hundred fifteen billion, three hundred thirty-four million, one hundred forty-five thousand, two hundred one".