312402424244000 has 96 divisors (see below), whose sum is σ = 767597977875456. Its totient is φ = 124956863635200.

The previous prime is 312402424243997. The next prime is 312402424244003. The reversal of 312402424244000 is 442424204213.

It is an interprime number because it is at equal distance from previous prime (312402424243997) and next prime (312402424244003).

It is a Harshad number since it is a multiple of its sum of digits (32).

It is not an unprimeable number, because it can be changed into a prime (312402424244003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 121944257 + ... + 124479743.

It is an arithmetic number, because the mean of its divisors is an integer number (7995812269536).

Almost surely, 2^{312402424244000} is an apocalyptic number.

It is an amenable number.

312402424244000 is an abundant number, since it is smaller than the sum of its proper divisors (455195553631456).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

312402424244000 is a wasteful number, since it uses less digits than its factorization.

312402424244000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2566315 (or 2566297 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 32.

Adding to 312402424244000 its reverse (442424204213), we get a palindrome (312844848448213).

The spelling of 312402424244000 in words is "three hundred twelve trillion, four hundred two billion, four hundred twenty-four million, two hundred forty-four thousand".