12794118912000 has 768 divisors, whose sum is σ = 48305830809600. Its totient is φ = 3339089510400.

The previous prime is 12794118911983. The next prime is 12794118912037. The reversal of 12794118912000 is 21981149721.

12794118912000 is a `hidden beast` number, since 1 + 27 + 9 + 411 + 8 + 9 + 1 + 200 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (768).

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 63 ways as a sum of consecutive naturals, for example, 324844309 + ... + 324883691.

It is an arithmetic number, because the mean of its divisors is an integer number (62898217200).

Almost surely, 2^{12794118912000} is an apocalyptic number.

12794118912000 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 12794118912000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24152915404800).

12794118912000 is an abundant number, since it is smaller than the sum of its proper divisors (35511711897600).

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

12794118912000 is an equidigital number, since it uses as much as digits as its factorization.

12794118912000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39476 (or 39440 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 45.

The spelling of 12794118912000 in words is "twelve trillion, seven hundred ninety-four billion, one hundred eighteen million, nine hundred twelve thousand".