12192768000 has 1008 divisors, whose sum is σ = 53026659504. Its totient is φ = 2786918400.

The previous prime is 12192767971. The next prime is 12192768011. The reversal of 12192768000 is 86729121.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It is a Jordan-Polya number, since it can be written as (7!)² ⋅ 5! ⋅ (2!)².

It is a tau number, because it is divible by the number of its divisors (1008).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1741823997 + ... + 1741824003.

It is an arithmetic number, because the mean of its divisors is an integer number (52605813).

Almost surely, 2^12192768000 is an apocalyptic number.

12192768000 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 12192768000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26513329752).

12192768000 is an abundant number, since it is smaller than the sum of its proper divisors (40833891504).

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

12192768000 is an frugal number, since it uses more digits than its factorization.

12192768000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 70 (or 17 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 36.

The spelling of 12192768000 in words is "twelve billion, one hundred ninety-two million, seven hundred sixty-eight thousand".