12069136800 has 432 divisors, whose sum is σ = 49778688960. Its totient is φ = 2694021120.

The previous prime is 12069136789. The next prime is 12069136829. The reversal of 12069136800 is 863196021.

12069136800 is a `hidden beast` number, since 1 + 206 + 91 + 368 + 0 + 0 = 666.

It is a super-2 number, since 2×12069136800² (a number of 21 digits) contains 22 as substring.

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 71 ways as a sum of consecutive naturals, for example, 2164416 + ... + 2169984.

Almost surely, 2^12069136800 is an apocalyptic number.

12069136800 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 12069136800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24889344480).

12069136800 is an abundant number, since it is smaller than the sum of its proper divisors (37709552160).

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

12069136800 is a wasteful number, since it uses less digits than its factorization.

12069136800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5645 (or 5629 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The spelling of 12069136800 in words is "twelve billion, sixty-nine million, one hundred thirty-six thousand, eight hundred".