312314202200000 has 672 divisors, whose sum is σ = 1040071432167936. Its totient is φ = 89856576000000.

The previous prime is 312314202199963. The next prime is 312314202200057. The reversal of 312314202200000 is 2202413213.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 199419995 + ... + 200980005.

It is an arithmetic number, because the mean of its divisors is an integer number (1547725345488).

Almost surely, 2^{312314202200000} 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 312314202200000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (520035716083968).

312314202200000 is an abundant number, since it is smaller than the sum of its proper divisors (727757229967936).

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

312314202200000 is a wasteful number, since it uses less digits than its factorization.

312314202200000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1560079 (or 1560049 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

Adding to 312314202200000 its reverse (2202413213), we get a palindrome (312316404613213).

The spelling of 312314202200000 in words is "three hundred twelve trillion, three hundred fourteen billion, two hundred two million, two hundred thousand".