312202013020000 has 120 divisors (see below), whose sum is σ = 768816098808912. Its totient is φ = 124758484800000.

The previous prime is 312202013019983. The next prime is 312202013020003. The reversal of 312202013020000 is 20310202213.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (312202013020003) 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 19 ways as a sum of consecutive naturals, for example, 12775485 + ... + 28064515.

Almost surely, 2^{312202013020000} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 312202013020000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (384408049404456).

312202013020000 is an abundant number, since it is smaller than the sum of its proper divisors (456614085788912).

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

312202013020000 is a wasteful number, since it uses less digits than its factorization.

312202013020000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15290082 (or 15290059 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

Adding to 312202013020000 its reverse (20310202213), we get a palindrome (312222323222213).

The spelling of 312202013020000 in words is "three hundred twelve trillion, two hundred two billion, thirteen million, twenty thousand".