3112976805120 has 2592 divisors, whose sum is σ = 14427511862400. Its totient is φ = 612453187584.

The previous prime is 3112976805049. The next prime is 3112976805137. The reversal of 3112976805120 is 215086792113.

3112976805120 is a `hidden beast` number, since 3 + 1 + 129 + 7 + 6 + 8 + 0 + 512 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 11572404346 + ... + 11572404614.

It is an arithmetic number, because the mean of its divisors is an integer number (5566169700).

Almost surely, 2^{3112976805120} is an apocalyptic number.

3112976805120 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 3112976805120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7213755931200).

3112976805120 is an abundant number, since it is smaller than the sum of its proper divisors (11314535057280).

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

3112976805120 is a wasteful number, since it uses less digits than its factorization.

3112976805120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 425 (or 401 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 45.

The spelling of 3112976805120 in words is "three trillion, one hundred twelve billion, nine hundred seventy-six million, eight hundred five thousand, one hundred twenty".