12005912485800 has 480 divisors, whose sum is σ = 43300661314680. Its totient is φ = 3080689459200.

The previous prime is 12005912485739. The next prime is 12005912485849. The reversal of 12005912485800 is 858421950021.

12005912485800 is a `hidden beast` number, since 1 + 2 + 0 + 0 + 5 + 91 + 2 + 485 + 80 + 0 = 666.

12005912485800 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 12 ways, for example, as 127701881316 + 11878210604484 = 357354^2 + 3446478^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 48362794 + ... + 48610406.

Almost surely, 2^{12005912485800} is an apocalyptic number.

12005912485800 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 12005912485800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21650330657340).

12005912485800 is an abundant number, since it is smaller than the sum of its proper divisors (31294748828880).

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

12005912485800 is a wasteful number, since it uses less digits than its factorization.

12005912485800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 247755 (or 247737 counting only the distinct ones).

The product of its (nonzero) digits is 230400, while the sum is 45.

The spelling of 12005912485800 in words is "twelve trillion, five billion, nine hundred twelve million, four hundred eighty-five thousand, eight hundred".