12118927392000 has 3456 divisors, whose sum is σ = 54110200435200. Its totient is φ = 2563964928000.

The previous prime is 12118927391981. The next prime is 12118927392059. The reversal of 12118927392000 is 29372981121.

12118927392000 is a `hidden beast` number, since 1 + 211 + 89 + 273 + 92 + 0 + 0 + 0 = 666.

It is a super-2 number, since 2×12118927392000² (a number of 27 digits) contains 22 as substring.

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 383 ways as a sum of consecutive naturals, for example, 87186527931 + ... + 87186528069.

It is an arithmetic number, because the mean of its divisors is an integer number (15656886700).

Almost surely, 2^{12118927392000} is an apocalyptic number.

12118927392000 is a gapful number since it is divisible by the number (10) 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 12118927392000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27055100217600).

12118927392000 is an abundant number, since it is smaller than the sum of its proper divisors (41991273043200).

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

12118927392000 is a wasteful number, since it uses less digits than its factorization.

12118927392000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 302 (or 275 counting only the distinct ones).

The product of its (nonzero) digits is 108864, while the sum is 45.

The spelling of 12118927392000 in words is "twelve trillion, one hundred eighteen billion, nine hundred twenty-seven million, three hundred ninety-two thousand".