12061108800 has 504 divisors, whose sum is σ = 48609666560. Its totient is φ = 2811801600.

The previous prime is 12061108771. The next prime is 12061108859. The reversal of 12061108800 is 880116021.

12061108800 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 3555105 + ... + 3558495.

Almost surely, 2^12061108800 is an apocalyptic number.

12061108800 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 12061108800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24304833280).

12061108800 is an abundant number, since it is smaller than the sum of its proper divisors (36548557760).

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

12061108800 is a wasteful number, since it uses less digits than its factorization.

12061108800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3451 (or 3433 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 27.

The spelling of 12061108800 in words is "twelve billion, sixty-one million, one hundred eight thousand, eight hundred".