3117890778912 has 1440 divisors, whose sum is σ = 12228968328192. Its totient is φ = 758447898624.

The previous prime is 3117890778833. The next prime is 3117890778949. The reversal of 3117890778912 is 2198770987113.

3117890778912 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a self number, because there is not a number n which added to its sum of digits gives 3117890778912.

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 3612850993 + ... + 3612851855.

Almost surely, 2^{3117890778912} is an apocalyptic number.

3117890778912 is a gapful number since it is divisible by the number (32) 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 3117890778912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6114484164096).

3117890778912 is an abundant number, since it is smaller than the sum of its proper divisors (9111077549280).

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

3117890778912 is a wasteful number, since it uses less digits than its factorization.

3117890778912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 992 (or 958 counting only the distinct ones).

The product of its (nonzero) digits is 10668672, while the sum is 63.

The spelling of 3117890778912 in words is "three trillion, one hundred seventeen billion, eight hundred ninety million, seven hundred seventy-eight thousand, nine hundred twelve".