12109036800 has 648 divisors, whose sum is σ = 47472815712. Its totient is φ = 2709504000.

The previous prime is 12109036789. The next prime is 12109036837. The reversal of 12109036800 is 863090121.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 57388695 + ... + 57388905.

Almost surely, 2^12109036800 is an apocalyptic number.

12109036800 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 12109036800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23736407856).

12109036800 is an abundant number, since it is smaller than the sum of its proper divisors (35363778912).

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

12109036800 is a wasteful number, since it uses less digits than its factorization.

12109036800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 315 (or 289 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 30.

The spelling of 12109036800 in words is "twelve billion, one hundred nine million, thirty-six thousand, eight hundred".