12088805200800 has 72 divisors (see below), whose sum is σ = 39349060936416. Its totient is φ = 3223681386240.

The previous prime is 12088805200751. The next prime is 12088805200807. The reversal of 12088805200800 is 800250888021.

12088805200800 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×12088805200800² (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (12088805200807) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2518498684 + ... + 2518503483.

It is an arithmetic number, because the mean of its divisors is an integer number (546514735228).

Almost surely, 2^{12088805200800} is an apocalyptic number.

12088805200800 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12088805200800 is an abundant number, since it is smaller than the sum of its proper divisors (27260255735616).

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

12088805200800 is a wasteful number, since it uses less digits than its factorization.

12088805200800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5037002190 (or 5037002177 counting only the distinct ones).

The product of its (nonzero) digits is 81920, while the sum is 42.

The spelling of 12088805200800 in words is "twelve trillion, eighty-eight billion, eight hundred five million, two hundred thousand, eight hundred".