12841012800 has 1008 divisors, whose sum is σ = 58626402432. Its totient is φ = 2587852800.

The previous prime is 12841012771. The next prime is 12841012823. The reversal of 12841012800 is 821014821.

12841012800 = 255³ + 256³ + ... + 485³.

12841012800 is a `hidden beast` number, since 1 + 284 + 101 + 280 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1008).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 41025444 + ... + 41025756.

Almost surely, 2^12841012800 is an apocalyptic number.

12841012800 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 12841012800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29313201216).

12841012800 is an abundant number, since it is smaller than the sum of its proper divisors (45785389632).

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

12841012800 is a wasteful number, since it uses less digits than its factorization.

12841012800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 396 (or 378 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 27.

The spelling of 12841012800 in words is "twelve billion, eight hundred forty-one million, twelve thousand, eight hundred".