12053620800 has 672 divisors, whose sum is σ = 47974707200. Its totient is φ = 2943682560.

The previous prime is 12053620781. The next prime is 12053620807. The reversal of 12053620800 is 802635021.

12053620800 is a `hidden beast` number, since 120 + 536 + 2 + 0 + 8 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (12053620807) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 94910337 + ... + 94910463.

Almost surely, 2^12053620800 is an apocalyptic number.

12053620800 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 12053620800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23987353600).

12053620800 is an abundant number, since it is smaller than the sum of its proper divisors (35921086400).

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

12053620800 is a wasteful number, since it uses less digits than its factorization.

12053620800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 197 (or 150 counting only the distinct ones).

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

The spelling of 12053620800 in words is "twelve billion, fifty-three million, six hundred twenty thousand, eight hundred".