312242020042005 has 96 divisors (see below), whose sum is σ = 581276232351360. Its totient is φ = 160604587987200.

The previous prime is 312242020042003. The next prime is 312242020042009. The reversal of 312242020042005 is 500240020242213.

312242020042005 is a `hidden beast` number, since 3 + 12 + 2 + 4 + 20 + 200 + 420 + 0 + 5 = 666.

It is not a de Polignac number, because 312242020042005 - 2¹ = 312242020042003 is a prime.

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

It is a self number, because there is not a number n which added to its sum of digits gives 312242020042005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (312242020042003) 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 95 ways as a sum of consecutive naturals, for example, 26094555 + ... + 36130455.

It is an arithmetic number, because the mean of its divisors is an integer number (6054960753660).

Almost surely, 2^{312242020042005} is an apocalyptic number.

It is an amenable number.

312242020042005 is a deficient number, since it is larger than the sum of its proper divisors (269034212309355).

312242020042005 is a wasteful number, since it uses less digits than its factorization.

312242020042005 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10036833 (or 10036821 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 27.

Adding to 312242020042005 its reverse (500240020242213), we get a palindrome (812482040284218).

The spelling of 312242020042005 in words is "three hundred twelve trillion, two hundred forty-two billion, twenty million, forty-two thousand, five".