12981805200 has 1800 divisors, whose sum is σ = 63469890792. Its totient is φ = 2508226560.

The previous prime is 12981805189. The next prime is 12981805201. The reversal of 12981805200 is 250818921.

12981805200 is a `hidden beast` number, since 129 + 8 + 1 + 8 + 0 + 520 + 0 = 666.

It can be written as a sum of positive squares in 12 ways, for example, as 1565310096 + 11416495104 = 39564^2 + 106848^2 .

It is a tau number, because it is divible by the number of its divisors (1800).

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

It is not an unprimeable number, because it can be changed into a prime (12981805201) by changing a digit.

It is a polite number, since it can be written in 359 ways as a sum of consecutive naturals, for example, 350859582 + ... + 350859618.

Almost surely, 2^12981805200 is an apocalyptic number.

12981805200 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 12981805200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31734945396).

12981805200 is an abundant number, since it is smaller than the sum of its proper divisors (50488085592).

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

12981805200 is a wasteful number, since it uses less digits than its factorization.

12981805200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 111 (or 84 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 36.

The spelling of 12981805200 in words is "twelve billion, nine hundred eighty-one million, eight hundred five thousand, two hundred".