12255450908400 has 960 divisors, whose sum is σ = 51364598169600. Its totient is φ = 2717432340480.

The previous prime is 12255450908377. The next prime is 12255450908411. The reversal of 12255450908400 is 480905455221.

12255450908400 is a `hidden beast` number, since 1 + 2 + 2 + 554 + 5 + 0 + 90 + 8 + 4 + 0 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 356588017 + ... + 356622383.

It is an arithmetic number, because the mean of its divisors is an integer number (53504789760).

Almost surely, 2^{12255450908400} is an apocalyptic number.

12255450908400 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 12255450908400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25682299084800).

12255450908400 is an abundant number, since it is smaller than the sum of its proper divisors (39109147261200).

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

12255450908400 is a wasteful number, since it uses less digits than its factorization.

12255450908400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34543 (or 34526 counting only the distinct ones).

The product of its (nonzero) digits is 576000, while the sum is 45.

The spelling of 12255450908400 in words is "twelve trillion, two hundred fifty-five billion, four hundred fifty million, nine hundred eight thousand, four hundred".