12609118800 has 480 divisors, whose sum is σ = 46939852800. Its totient is φ = 3210762240.

The previous prime is 12609118759. The next prime is 12609118817. The reversal of 12609118800 is 881190621.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 39776242 + ... + 39776558.

It is an arithmetic number, because the mean of its divisors is an integer number (97791360).

Almost surely, 2^12609118800 is an apocalyptic number.

12609118800 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 12609118800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23469926400).

12609118800 is an abundant number, since it is smaller than the sum of its proper divisors (34330734000).

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

12609118800 is a wasteful number, since it uses less digits than its factorization.

12609118800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 500 (or 483 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 36.

The spelling of 12609118800 in words is "twelve billion, six hundred nine million, one hundred eighteen thousand, eight hundred".