312141203001201 has 16 divisors (see below), whose sum is σ = 475681780675584. Its totient is φ = 178352135676624.

The previous prime is 312141203001163. The next prime is 312141203001209. The reversal of 312141203001201 is 102100302141213.

It is not a de Polignac number, because 312141203001201 - 2⁹ = 312141203000689 is a prime.

It is a super-2 number, since 2×312141203001201² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (312141203001209) 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, 594149451 + ... + 594674576.

It is an arithmetic number, because the mean of its divisors is an integer number (29730111292224).

Almost surely, 2^{312141203001201} is an apocalyptic number.

It is an amenable number.

312141203001201 is a deficient number, since it is larger than the sum of its proper divisors (163540577674383).

312141203001201 is a wasteful number, since it uses less digits than its factorization.

312141203001201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1188836540.

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

Adding to 312141203001201 its reverse (102100302141213), we get a palindrome (414241505142414).

The spelling of 312141203001201 in words is "three hundred twelve trillion, one hundred forty-one billion, two hundred three million, one thousand, two hundred one".