12672096192 has 588 divisors, whose sum is σ = 45954214416. Its totient is φ = 3448811520.

The previous prime is 12672096187. The next prime is 12672096193. The reversal of 12672096192 is 29169027621.

12672096192 is a `hidden beast` number, since 1 + 2 + 6 + 7 + 20 + 9 + 619 + 2 = 666.

12672096192 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (588).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12672096193) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 52581192 + ... + 52581432.

Almost surely, 2^12672096192 is an apocalyptic number.

12672096192 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 12672096192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22977107208).

12672096192 is an abundant number, since it is smaller than the sum of its proper divisors (33282118224).

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

12672096192 is an equidigital number, since it uses as much as digits as its factorization.

12672096192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 308 (or 276 counting only the distinct ones).

The product of its (nonzero) digits is 163296, while the sum is 45.

The spelling of 12672096192 in words is "twelve billion, six hundred seventy-two million, ninety-six thousand, one hundred ninety-two".