12114864000000 has 462 divisors, whose sum is σ = 43726718650212. Its totient is φ = 3230592000000.

The previous prime is 12114863999989. The next prime is 12114864000047. The reversal of 12114864000000 is 46841121.

It is a happy number.

12114864000000 is a `hidden beast` number, since 1 + 2 + 1 + 14 + 8 + 640 + 0 + 0 + 0 + 0 + 0 = 666.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 41 ways as a sum of consecutive naturals, for example, 143957935 + ... + 144042065.

Almost surely, 2^{12114864000000} is an apocalyptic number.

12114864000000 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 12114864000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21863359325106).

12114864000000 is an abundant number, since it is smaller than the sum of its proper divisors (31611854650212).

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

12114864000000 is an frugal number, since it uses more digits than its factorization.

12114864000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 84187 (or 84141 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The spelling of 12114864000000 in words is "twelve trillion, one hundred fourteen billion, eight hundred sixty-four million", and thus it is an aban number.