12197884608000 has 4480 divisors, whose sum is σ = 59780541300480. Its totient is φ = 2422230220800.

The previous prime is 12197884607929. The next prime is 12197884608011. The reversal of 12197884608000 is 80648879121.

12197884608000 is a `hidden beast` number, since 1 + 21 + 9 + 7 + 8 + 8 + 4 + 608 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (4480).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 447 ways as a sum of consecutive naturals, for example, 717522623992 + ... + 717522624008.

It is an arithmetic number, because the mean of its divisors is an integer number (13343870826).

Almost surely, 2^{12197884608000} is an apocalyptic number.

12197884608000 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 12197884608000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29890270650240).

12197884608000 is an abundant number, since it is smaller than the sum of its proper divisors (47582656692480).

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

12197884608000 is an frugal number, since it uses more digits than its factorization.

12197884608000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 114 (or 47 counting only the distinct ones).

The product of its (nonzero) digits is 1548288, while the sum is 54.

The spelling of 12197884608000 in words is "twelve trillion, one hundred ninety-seven billion, eight hundred eighty-four million, six hundred eight thousand".