312000413121201 has 8 divisors (see below), whose sum is σ = 475429200946624. Its totient is φ = 178285950354960.

The previous prime is 312000413121193. The next prime is 312000413121211. The reversal of 312000413121201 is 102121314000213.

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

It is not a de Polignac number, because 312000413121201 - 2³ = 312000413121193 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (21), and also a Moran number because the ratio is a prime number: 14857162529581 = 312000413121201 / (3 + 1 + 2 + 0 + 0 + 0 + 4 + 1 + 3 + 1 + 2 + 1 + 2 + 0 + 1).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (312000413121211) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7428581264770 + ... + 7428581264811.

It is an arithmetic number, because the mean of its divisors is an integer number (59428650118328).

Almost surely, 2^{312000413121201} is an apocalyptic number.

It is an amenable number.

312000413121201 is a deficient number, since it is larger than the sum of its proper divisors (163428787825423).

312000413121201 is a wasteful number, since it uses less digits than its factorization.

312000413121201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14857162529591.

The product of its (nonzero) digits is 288, while the sum is 21.

Adding to 312000413121201 its reverse (102121314000213), we get a palindrome (414121727121414).

The spelling of 312000413121201 in words is "three hundred twelve trillion, four hundred thirteen million, one hundred twenty-one thousand, two hundred one".