12044083968000 has 2304 divisors, whose sum is σ = 53063557747200. Its totient is φ = 2685660364800.

The previous prime is 12044083967969. The next prime is 12044083968017. The reversal of 12044083968000 is 86938044021.

It is a happy number.

12044083968000 is a `hidden beast` number, since 1 + 204 + 408 + 39 + 6 + 8 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2304).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 14563583587 + ... + 14563584413.

It is an arithmetic number, because the mean of its divisors is an integer number (23031058050).

Almost surely, 2^{12044083968000} is an apocalyptic number.

12044083968000 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 12044083968000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26531778873600).

12044083968000 is an abundant number, since it is smaller than the sum of its proper divisors (41019473779200).

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

12044083968000 is an equidigital number, since it uses as much as digits as its factorization.

12044083968000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 930 (or 887 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

The spelling of 12044083968000 in words is "twelve trillion, forty-four billion, eighty-three million, nine hundred sixty-eight thousand".