3118912396800 has 480 divisors, whose sum is σ = 10422424172160. Its totient is φ = 822118809600.

The previous prime is 3118912396799. The next prime is 3118912396891. The reversal of 3118912396800 is 86932198113.

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

It is a super-2 number, since 2×3118912396800² (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2858764255 + ... + 2858765345.

It is an arithmetic number, because the mean of its divisors is an integer number (21713383692).

Almost surely, 2^{3118912396800} is an apocalyptic number.

3118912396800 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 3118912396800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5211212086080).

3118912396800 is an abundant number, since it is smaller than the sum of its proper divisors (7303511775360).

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

3118912396800 is a wasteful number, since it uses less digits than its factorization.

3118912396800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1914 (or 1893 counting only the distinct ones).

The product of its (nonzero) digits is 559872, while the sum is 51.

The spelling of 3118912396800 in words is "three trillion, one hundred eighteen billion, nine hundred twelve million, three hundred ninety-six thousand, eight hundred".