312234140004201 has 16 divisors (see below), whose sum is σ = 482680796142720. Its totient is φ = 199105828408080.

The previous prime is 312234140004131. The next prime is 312234140004239. The reversal of 312234140004201 is 102400041432213.

312234140004201 is a `hidden beast` number, since 3 + 1 + 2 + 234 + 1 + 4 + 0 + 0 + 0 + 420 + 1 = 666.

It is not a de Polignac number, because 312234140004201 - 2⁹ = 312234140003689 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (312234140004001) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 251396247370 + ... + 251396248611.

It is an arithmetic number, because the mean of its divisors is an integer number (30167549758920).

Almost surely, 2^{312234140004201} is an apocalyptic number.

It is an amenable number.

312234140004201 is a deficient number, since it is larger than the sum of its proper divisors (170446656138519).

312234140004201 is a wasteful number, since it uses less digits than its factorization.

312234140004201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 502792496013 (or 502792496007 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 312234140004201 its reverse (102400041432213), we get a palindrome (414634181436414).

The spelling of 312234140004201 in words is "three hundred twelve trillion, two hundred thirty-four billion, one hundred forty million, four thousand, two hundred one".