3112898688000 has 880 divisors, whose sum is σ = 11708132786064. Its totient is φ = 822450585600.

The previous prime is 3112898687939. The next prime is 3112898688023. The reversal of 3112898688000 is 8868982113.

It can be written as a sum of positive squares in 8 ways, for example, as 1771156399104 + 1341742288896 = 1330848^2 + 1158336^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

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 79 ways as a sum of consecutive naturals, for example, 1171582672 + ... + 1171585328.

Almost surely, 2^{3112898688000} is an apocalyptic number.

3112898688000 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 3112898688000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5854066393032).

3112898688000 is an abundant number, since it is smaller than the sum of its proper divisors (8595234098064).

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

3112898688000 is a wasteful number, since it uses less digits than its factorization.

3112898688000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2817 (or 2780 counting only the distinct ones).

The product of its (nonzero) digits is 1327104, while the sum is 54.

The spelling of 3112898688000 in words is "three trillion, one hundred twelve billion, eight hundred ninety-eight million, six hundred eighty-eight thousand".