12255938402400 has 3456 divisors, whose sum is σ = 59859218764800. Its totient is φ = 2282486169600.

The previous prime is 12255938402363. The next prime is 12255938402401. The reversal of 12255938402400 is 420483955221.

12255938402400 is a `hidden beast` number, since 1 + 2 + 2 + 559 + 38 + 40 + 24 + 0 + 0 = 666.

It is a super-2 number, since 2×12255938402400² (a number of 27 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12255938402401) by changing a digit.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 16190142822 + ... + 16190143578.

It is an arithmetic number, because the mean of its divisors is an integer number (17320375800).

Almost surely, 2^{12255938402400} is an apocalyptic number.

12255938402400 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 12255938402400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29929609382400).

12255938402400 is an abundant number, since it is smaller than the sum of its proper divisors (47603280362400).

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

12255938402400 is a wasteful number, since it uses less digits than its factorization.

12255938402400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 902 (or 886 counting only the distinct ones).

The product of its (nonzero) digits is 691200, while the sum is 45.

The spelling of 12255938402400 in words is "twelve trillion, two hundred fifty-five billion, nine hundred thirty-eight million, four hundred two thousand, four hundred".