312010013220000 has 480 divisors, whose sum is σ = 1053370482196032. Its totient is φ = 80780332032000.

The previous prime is 312010013219911. The next prime is 312010013220007. The reversal of 312010013220000 is 22310010213.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is not an unprimeable number, because it can be changed into a prime (312010013220007) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1036589524 + ... + 1036890476.

Almost surely, 2^{312010013220000} is an apocalyptic number.

312010013220000 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 312010013220000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (526685241098016).

312010013220000 is an abundant number, since it is smaller than the sum of its proper divisors (741360468976032).

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

312010013220000 is a wasteful number, since it uses less digits than its factorization.

312010013220000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 301490 (or 301467 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 312010013220000 its reverse (22310010213), we get a palindrome (312032323230213).

The spelling of 312010013220000 in words is "three hundred twelve trillion, ten billion, thirteen million, two hundred twenty thousand".