12894336000 has 1408 divisors, whose sum is σ = 60085509120. Its totient is φ = 2654208000.

The previous prime is 12894335999. The next prime is 12894336019. The reversal of 12894336000 is 63349821.

12894336000 is a `hidden beast` number, since 1 + 2 + 8 + 9 + 43 + 3 + 600 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 314495980 + ... + 314496020.

Almost surely, 2^12894336000 is an apocalyptic number.

12894336000 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 12894336000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30042754560).

12894336000 is an abundant number, since it is smaller than the sum of its proper divisors (47191173120).

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

12894336000 is a wasteful number, since it uses less digits than its factorization.

12894336000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 105 (or 71 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The spelling of 12894336000 in words is "twelve billion, eight hundred ninety-four million, three hundred thirty-six thousand".