12204313804800 has 1728 divisors, whose sum is σ = 49257886043520. Its totient is φ = 2981206425600.

The previous prime is 12204313804763. The next prime is 12204313804819. The reversal of 12204313804800 is 840831340221.

It is a happy number.

12204313804800 is a `hidden beast` number, since 1 + 2 + 2 + 0 + 43 + 138 + 0 + 480 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1728).

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

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, 93162700735 + ... + 93162700865.

It is an arithmetic number, because the mean of its divisors is an integer number (28505721090).

Almost surely, 2^{12204313804800} is an apocalyptic number.

12204313804800 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 12204313804800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24628943021760).

12204313804800 is an abundant number, since it is smaller than the sum of its proper divisors (37053572238720).

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

12204313804800 is an frugal number, since it uses more digits than its factorization.

12204313804800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 209 (or 154 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The spelling of 12204313804800 in words is "twelve trillion, two hundred four billion, three hundred thirteen million, eight hundred four thousand, eight hundred".