12805251200 has 384 divisors, whose sum is σ = 37737584640. Its totient is φ = 4202496000.

The previous prime is 12805251161. The next prime is 12805251253. The reversal of 12805251200 is 215250821.

It is a self number, because there is not a number n which added to its sum of digits gives 12805251200.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 67043105 + ... + 67043295.

It is an arithmetic number, because the mean of its divisors is an integer number (98274960).

Almost surely, 2^12805251200 is an apocalyptic number.

12805251200 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 12805251200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18868792320).

12805251200 is an abundant number, since it is smaller than the sum of its proper divisors (24932333440).

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

12805251200 is a wasteful number, since it uses less digits than its factorization.

12805251200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 336 (or 319 counting only the distinct ones).

The product of its (nonzero) digits is 1600, while the sum is 26.

The spelling of 12805251200 in words is "twelve billion, eight hundred five million, two hundred fifty-one thousand, two hundred".