12080635200 has 504 divisors, whose sum is σ = 46265576760. Its totient is φ = 2978611200.

The previous prime is 12080635163. The next prime is 12080635213. The reversal of 12080635200 is 253608021.

12080635200 is a `hidden beast` number, since 1 + 2 + 0 + 8 + 0 + 635 + 20 + 0 = 666.

It can be written as a sum of positive squares in 12 ways, for example, as 2506404096 + 9574231104 = 50064^2 + 97848^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 14932396 + ... + 14933204.

Almost surely, 2^12080635200 is an apocalyptic number.

12080635200 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 12080635200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23132788380).

12080635200 is an abundant number, since it is smaller than the sum of its proper divisors (34184941560).

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

12080635200 is a wasteful number, since it uses less digits than its factorization.

12080635200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 915 (or 897 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The spelling of 12080635200 in words is "twelve billion, eighty million, six hundred thirty-five thousand, two hundred".