31312121200002 has 48 divisors (see below), whose sum is σ = 69770807920320. Its totient is φ = 10141540466976.

The previous prime is 31312121199959. The next prime is 31312121200021. The reversal of 31312121200002 is 20000212121313.

31312121200002 is a `hidden beast` number, since 31 + 312 + 121 + 200 + 0 + 0 + 2 = 666.

It is a super-2 number, since 2×31312121200002² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 31317838 + ... + 32302185.

It is an arithmetic number, because the mean of its divisors is an integer number (1453558498340).

Almost surely, 2^{31312121200002} is an apocalyptic number.

31312121200002 is an abundant number, since it is smaller than the sum of its proper divisors (38458686720318).

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

31312121200002 is a wasteful number, since it uses less digits than its factorization.

31312121200002 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 63620807 (or 63620804 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 31312121200002 its reverse (20000212121313), we get a palindrome (51312333321315).

The spelling of 31312121200002 in words is "thirty-one trillion, three hundred twelve billion, one hundred twenty-one million, two hundred thousand, two".