312002311312120 has 128 divisors (see below), whose sum is σ = 824741659385280. Its totient is φ = 104726997504000.

The previous prime is 312002311312093. The next prime is 312002311312121. The reversal of 312002311312120 is 21213113200213.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 312002311312091 and 312002311312100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (312002311312121) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 749003100 + ... + 749419540.

Almost surely, 2^{312002311312120} is an apocalyptic number.

It is an amenable number.

312002311312120 is an abundant number, since it is smaller than the sum of its proper divisors (512739348073160).

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

312002311312120 is a wasteful number, since it uses less digits than its factorization.

312002311312120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 547457 (or 547453 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 22.

Adding to 312002311312120 its reverse (21213113200213), we get a palindrome (333215424512333).

The spelling of 312002311312120 in words is "three hundred twelve trillion, two billion, three hundred eleven million, three hundred twelve thousand, one hundred twenty".