312132104120401 has 8 divisors (see below), whose sum is σ = 322203801291008. Its totient is φ = 302060589426000.

The previous prime is 312132104120371. The next prime is 312132104120423. The reversal of 312132104120401 is 104021401231213.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 312132104120401 - 2³⁵ = 312097744382033 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (312132104120461) 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 7 ways as a sum of consecutive naturals, for example, 42138570 + ... + 48989011.

It is an arithmetic number, because the mean of its divisors is an integer number (40275475161376).

Almost surely, 2^{312132104120401} is an apocalyptic number.

312132104120401 is a gapful number since it is divisible by the number (31) formed by its first and last digit.

It is an amenable number.

312132104120401 is a deficient number, since it is larger than the sum of its proper divisors (10071697170607).

312132104120401 is a wasteful number, since it uses less digits than its factorization.

312132104120401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 91238103.

The product of its (nonzero) digits is 1152, while the sum is 25.

Adding to 312132104120401 its reverse (104021401231213), we get a palindrome (416153505351614).

The spelling of 312132104120401 in words is "three hundred twelve trillion, one hundred thirty-two billion, one hundred four million, one hundred twenty thousand, four hundred one".