12008344424832 has 384 divisors, whose sum is σ = 41749543296000. Its totient is φ = 3387521958912.

The previous prime is 12008344424821. The next prime is 12008344424849. The reversal of 12008344424832 is 23842444380021.

12008344424832 is a `hidden beast` number, since 1 + 200 + 8 + 344 + 4 + 24 + 83 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 12929373 + ... + 13826979.

It is an arithmetic number, because the mean of its divisors is an integer number (108722769000).

Almost surely, 2^{12008344424832} is an apocalyptic number.

12008344424832 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 12008344424832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20874771648000).

12008344424832 is an abundant number, since it is smaller than the sum of its proper divisors (29741198871168).

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

12008344424832 is an equidigital number, since it uses as much as digits as its factorization.

12008344424832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 897723 (or 897698 counting only the distinct ones).

The product of its (nonzero) digits is 1179648, while the sum is 45.

The spelling of 12008344424832 in words is "twelve trillion, eight billion, three hundred forty-four million, four hundred twenty-four thousand, eight hundred thirty-two".