312404401302001 has 16 divisors (see below), whose sum is σ = 335248506450000. Its totient is φ = 290079825758208.

The previous prime is 312404401301969. The next prime is 312404401302011. The reversal of 312404401302001 is 100203104404213.

It can be written as a sum of positive squares in 8 ways, for example, as 22465239542001 + 289939161760000 = 4739751^2 + 17027600^2 .

It is a cyclic number.

It is not a de Polignac number, because 312404401302001 - 2⁵ = 312404401301969 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (312404401302011) 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 15 ways as a sum of consecutive naturals, for example, 361357626 + ... + 362221123.

It is an arithmetic number, because the mean of its divisors is an integer number (20953031653125).

Almost surely, 2^{312404401302001} is an apocalyptic number.

It is an amenable number.

312404401302001 is a deficient number, since it is larger than the sum of its proper divisors (22844105147999).

312404401302001 is a wasteful number, since it uses less digits than its factorization.

312404401302001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 723579108.

The product of its (nonzero) digits is 2304, while the sum is 25.

Adding to 312404401302001 its reverse (100203104404213), we get a palindrome (412607505706214).

The spelling of 312404401302001 in words is "three hundred twelve trillion, four hundred four billion, four hundred one million, three hundred two thousand, one".