12382804800 has 672 divisors, whose sum is σ = 47490928640. Its totient is φ = 3135283200.

The previous prime is 12382804747. The next prime is 12382804817. The reversal of 12382804800 is 840828321.

It is a happy number.

12382804800 is a `hidden beast` number, since 1 + 23 + 82 + 80 + 480 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 97502337 + ... + 97502463.

Almost surely, 2^12382804800 is an apocalyptic number.

12382804800 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 12382804800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23745464320).

12382804800 is an abundant number, since it is smaller than the sum of its proper divisors (35108123840).

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

12382804800 is a wasteful number, since it uses less digits than its factorization.

12382804800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 256 (or 235 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 36.

The spelling of 12382804800 in words is "twelve billion, three hundred eighty-two million, eight hundred four thousand, eight hundred".