12144556250400 has 288 divisors, whose sum is σ = 47142000718848. Its totient is φ = 2655207244800.

The previous prime is 12144556250341. The next prime is 12144556250417. The reversal of 12144556250400 is 405265544121.

12144556250400 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 polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 15328606 + ... + 16101405.

It is an arithmetic number, because the mean of its divisors is an integer number (163687502496).

Almost surely, 2^{12144556250400} is an apocalyptic number.

12144556250400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12144556250400 is an abundant number, since it is smaller than the sum of its proper divisors (34997444468448).

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

12144556250400 is a wasteful number, since it uses less digits than its factorization.

12144556250400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31430064 (or 31430051 counting only the distinct ones).

The product of its (nonzero) digits is 192000, while the sum is 39.

The spelling of 12144556250400 in words is "twelve trillion, one hundred forty-four billion, five hundred fifty-six million, two hundred fifty thousand, four hundred".