12336795072 has 252 divisors, whose sum is σ = 42660585240. Its totient is φ = 3524580864.

The previous prime is 12336795049. The next prime is 12336795101. The reversal of 12336795072 is 27059763321.

12336795072 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 (252).

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 35 ways as a sum of consecutive naturals, for example, 753954 + ... + 770142.

Almost surely, 2^12336795072 is an apocalyptic number.

12336795072 is a gapful number since it is divisible by the number (12) 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 12336795072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21330292620).

12336795072 is an abundant number, since it is smaller than the sum of its proper divisors (30323790168).

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

12336795072 is an equidigital number, since it uses as much as digits as its factorization.

12336795072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16230 (or 16201 counting only the distinct ones).

The product of its (nonzero) digits is 476280, while the sum is 45.

The spelling of 12336795072 in words is "twelve billion, three hundred thirty-six million, seven hundred ninety-five thousand, seventy-two".