12884841792000 has 960 divisors, whose sum is σ = 49169062800000. Its totient is φ = 3233953382400.

The previous prime is 12884841791999. The next prime is 12884841792007. The reversal of 12884841792000 is 29714848821.

12884841792000 is a `hidden beast` number, since 12 + 8 + 8 + 4 + 8 + 417 + 9 + 200 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

It is not an unprimeable number, because it can be changed into a prime (12884841792007) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1718204251 + ... + 1718211749.

It is an arithmetic number, because the mean of its divisors is an integer number (51217773750).

Almost surely, 2^{12884841792000} is an apocalyptic number.

12884841792000 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 12884841792000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24584531400000).

12884841792000 is an abundant number, since it is smaller than the sum of its proper divisors (36284221008000).

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

12884841792000 is a wasteful number, since it uses less digits than its factorization.

12884841792000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7714 (or 7685 counting only the distinct ones).

The product of its (nonzero) digits is 2064384, while the sum is 54.

The spelling of 12884841792000 in words is "twelve trillion, eight hundred eighty-four billion, eight hundred forty-one million, seven hundred ninety-two thousand".