12204171618912 has 2304 divisors, whose sum is σ = 49088083968000. Its totient is φ = 2874535133184.

The previous prime is 12204171618911. The next prime is 12204171618953. The reversal of 12204171618912 is 21981617140221.

It is a happy number.

12204171618912 is a `hidden beast` number, since 1 + 2 + 2 + 0 + 4 + 17 + 1 + 618 + 9 + 12 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12204171618911) by changing a digit.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 39753001863 + ... + 39753002169.

It is an arithmetic number, because the mean of its divisors is an integer number (21305592000).

Almost surely, 2^{12204171618912} is an apocalyptic number.

12204171618912 is a gapful number since it is divisible by the number (12) 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 12204171618912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24544041984000).

12204171618912 is an abundant number, since it is smaller than the sum of its proper divisors (36883912349088).

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

12204171618912 is a wasteful number, since it uses less digits than its factorization.

12204171618912 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 490 (or 463 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 45.

The spelling of 12204171618912 in words is "twelve trillion, two hundred four billion, one hundred seventy-one million, six hundred eighteen thousand, nine hundred twelve".