12088397260800 has 1728 divisors, whose sum is σ = 52075706941440. Its totient is φ = 2620074885120.

The previous prime is 12088397260757. The next prime is 12088397260811. The reversal of 12088397260800 is 806279388021.

It is a happy number.

12088397260800 is a `hidden beast` number, since 1 + 20 + 8 + 8 + 3 + 9 + 7 + 2 + 608 + 0 + 0 = 666.

12088397260800 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 2×12088397260800² (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 9421976959 + ... + 9421978241.

It is an arithmetic number, because the mean of its divisors is an integer number (30136404480).

Almost surely, 2^{12088397260800} is an apocalyptic number.

12088397260800 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 12088397260800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26037853470720).

12088397260800 is an abundant number, since it is smaller than the sum of its proper divisors (39987309680640).

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

12088397260800 is a wasteful number, since it uses less digits than its factorization.

12088397260800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1478 (or 1450 counting only the distinct ones).

The product of its (nonzero) digits is 2322432, while the sum is 54.

The spelling of 12088397260800 in words is "twelve trillion, eighty-eight billion, three hundred ninety-seven million, two hundred sixty thousand, eight hundred".