12168669726720 has 1728 divisors, whose sum is σ = 48577413830400. Its totient is φ = 2888043724800.

The previous prime is 12168669726691. The next prime is 12168669726737. The reversal of 12168669726720 is 2762796686121.

12168669726720 is a `hidden beast` number, since 1 + 216 + 86 + 69 + 7 + 267 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (1728).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 44902840185 + ... + 44902840455.

It is an arithmetic number, because the mean of its divisors is an integer number (28111929300).

Almost surely, 2^{12168669726720} is an apocalyptic number.

12168669726720 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 12168669726720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24288706915200).

12168669726720 is an abundant number, since it is smaller than the sum of its proper divisors (36408744103680).

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

12168669726720 is a wasteful number, since it uses less digits than its factorization.

12168669726720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 395 (or 325 counting only the distinct ones).

The product of its (nonzero) digits is 36578304, while the sum is 63.

The spelling of 12168669726720 in words is "twelve trillion, one hundred sixty-eight billion, six hundred sixty-nine million, seven hundred twenty-six thousand, seven hundred twenty".