12159676800 has 768 divisors, whose sum is σ = 48264768000. Its totient is φ = 2980454400.

The previous prime is 12159676787. The next prime is 12159676807. The reversal of 12159676800 is 867695121.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12159676807) 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, 57628695 + ... + 57628905.

It is an arithmetic number, because the mean of its divisors is an integer number (62844750).

Almost surely, 2^12159676800 is an apocalyptic number.

12159676800 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 12159676800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24132384000).

12159676800 is an abundant number, since it is smaller than the sum of its proper divisors (36105091200).

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

12159676800 is a wasteful number, since it uses less digits than its factorization.

12159676800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 296 (or 273 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 45.

The spelling of 12159676800 in words is "twelve billion, one hundred fifty-nine million, six hundred seventy-six thousand, eight hundred".