12189981081600 has 1404 divisors, whose sum is σ = 51824603653704. Its totient is φ = 2786281390080.

The previous prime is 12189981081571. The next prime is 12189981081613. The reversal of 12189981081600 is 618018998121.

It is a Jordan-Polya number, since it can be written as 10! ⋅ (3!)⁸ ⋅ 2!.

12189981081600 is a `hidden beast` number, since 1 + 2 + 18 + 9 + 9 + 8 + 10 + 8 + 1 + 600 = 666.

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 77 ways as a sum of consecutive naturals, for example, 1741425868797 + ... + 1741425868803.

Almost surely, 2^{12189981081600} is an apocalyptic number.

12189981081600 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 12189981081600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25912301826852).

12189981081600 is an abundant number, since it is smaller than the sum of its proper divisors (39634622572104).

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

12189981081600 is an frugal number, since it uses more digits than its factorization.

12189981081600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 87 (or 17 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 54.

The spelling of 12189981081600 in words is "twelve trillion, one hundred eighty-nine billion, nine hundred eighty-one million, eighty-one thousand, six hundred".