12142576800 has 216 divisors, whose sum is σ = 42994748160. Its totient is φ = 3224640000.

The previous prime is 12142576799. The next prime is 12142576811. The reversal of 12142576800 is 867524121.

12142576800 is a `hidden beast` number, since 1 + 2 + 1 + 4 + 2 + 576 + 80 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1803841 + ... + 1810559.

It is an arithmetic number, because the mean of its divisors is an integer number (199049760).

Almost surely, 2^12142576800 is an apocalyptic number.

12142576800 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 12142576800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21497374080).

12142576800 is an abundant number, since it is smaller than the sum of its proper divisors (30852171360).

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

12142576800 is a wasteful number, since it uses less digits than its factorization.

12142576800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6996 (or 6980 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 36.

The spelling of 12142576800 in words is "twelve billion, one hundred forty-two million, five hundred seventy-six thousand, eight hundred".