3112013212000 has 768 divisors, whose sum is σ = 9769855979520. Its totient is φ = 946176000000.

The previous prime is 3112013211991. The next prime is 3112013212027. The reversal of 3112013212000 is 2123102113.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 2208667296 + ... + 2208668704.

It is an arithmetic number, because the mean of its divisors is an integer number (12721166640).

Almost surely, 2^{3112013212000} 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 3112013212000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4884927989760).

3112013212000 is an abundant number, since it is smaller than the sum of its proper divisors (6657842767520).

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

3112013212000 is a wasteful number, since it uses less digits than its factorization.

3112013212000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1624 (or 1606 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 16.

Adding to 3112013212000 its reverse (2123102113), we get a palindrome (3114136314113).

The spelling of 3112013212000 in words is "three trillion, one hundred twelve billion, thirteen million, two hundred twelve thousand".