12335808000 has 320 divisors, whose sum is σ = 41916745728. Its totient is φ = 3217203200.

The previous prime is 12335807999. The next prime is 12335808011. The reversal of 12335808000 is 80853321.

It is a happy number.

12335808000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (320).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9023317 + ... + 9024683.

Almost surely, 2^12335808000 is an apocalyptic number.

12335808000 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 12335808000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20958372864).

12335808000 is an abundant number, since it is smaller than the sum of its proper divisors (29580937728).

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

12335808000 is an equidigital number, since it uses as much as digits as its factorization.

12335808000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1450 (or 1424 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 30.

The spelling of 12335808000 in words is "twelve billion, three hundred thirty-five million, eight hundred eight thousand".