12432142800 has 1080 divisors, whose sum is σ = 56398399200. Its totient is φ = 2506291200.

The previous prime is 12432142777. The next prime is 12432142817. The reversal of 12432142800 is 824123421.

12432142800 is a `hidden beast` number, since 12 + 432 + 142 + 80 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 83437126 + ... + 83437274.

It is an arithmetic number, because the mean of its divisors is an integer number (52220740).

Almost surely, 2^12432142800 is an apocalyptic number.

12432142800 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 12432142800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28199199600).

12432142800 is an abundant number, since it is smaller than the sum of its proper divisors (43966256400).

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

12432142800 is a wasteful number, since it uses less digits than its factorization.

12432142800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 241 (or 220 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The spelling of 12432142800 in words is "twelve billion, four hundred thirty-two million, one hundred forty-two thousand, eight hundred".