12192079200 has 576 divisors, whose sum is σ = 47876935680. Its totient is φ = 2634762240.

The previous prime is 12192079189. The next prime is 12192079213. The reversal of 12192079200 is 297029121.

12192079200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 95 ways as a sum of consecutive naturals, for example, 53709487 + ... + 53709713.

It is an arithmetic number, because the mean of its divisors is an integer number (83119680).

Almost surely, 2^12192079200 is an apocalyptic number.

12192079200 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 12192079200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23938467840).

12192079200 is an abundant number, since it is smaller than the sum of its proper divisors (35684856480).

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

12192079200 is a wasteful number, since it uses less digits than its factorization.

12192079200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 419 (or 406 counting only the distinct ones).

The product of its (nonzero) digits is 4536, while the sum is 33.

The spelling of 12192079200 in words is "twelve billion, one hundred ninety-two million, seventy-nine thousand, two hundred".