12097904467200 has 432 divisors, whose sum is σ = 41891951826816. Its totient is φ = 3068773171200.

The previous prime is 12097904467193. The next prime is 12097904467261. The reversal of 12097904467200 is 276440979021.

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, 79853922 + ... + 80005278.

Almost surely, 2^{12097904467200} is an apocalyptic number.

12097904467200 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 12097904467200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20945975913408).

12097904467200 is an abundant number, since it is smaller than the sum of its proper divisors (29794047359616).

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

12097904467200 is a wasteful number, since it uses less digits than its factorization.

12097904467200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 151590 (or 151571 counting only the distinct ones).

The product of its (nonzero) digits is 1524096, while the sum is 51.

The spelling of 12097904467200 in words is "twelve trillion, ninety-seven billion, nine hundred four million, four hundred sixty-seven thousand, two hundred".