312001140412401 has 128 divisors (see below), whose sum is σ = 493524928512000. Its totient is φ = 173181652008960.

The previous prime is 312001140412349. The next prime is 312001140412433. The reversal of 312001140412401 is 104214041100213.

It is a happy number.

It is not a de Polignac number, because 312001140412401 - 2¹⁰ = 312001140411377 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (312001140412441) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 14445155200 + ... + 14445176798.

It is an arithmetic number, because the mean of its divisors is an integer number (3855663504000).

Almost surely, 2^{312001140412401} is an apocalyptic number.

It is an amenable number.

312001140412401 is a deficient number, since it is larger than the sum of its proper divisors (181523788099599).

312001140412401 is a wasteful number, since it uses less digits than its factorization.

312001140412401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23879.

The product of its (nonzero) digits is 768, while the sum is 24.

Adding to 312001140412401 its reverse (104214041100213), we get a palindrome (416215181512614).

The spelling of 312001140412401 in words is "three hundred twelve trillion, one billion, one hundred forty million, four hundred twelve thousand, four hundred one".