12026806272 has 192 divisors, whose sum is σ = 37428087060. Its totient is φ = 3699376128.

The previous prime is 12026806193. The next prime is 12026806301. The reversal of 12026806272 is 27260862021.

12026806272 is a `hidden beast` number, since 1 + 2 + 0 + 26 + 8 + 0 + 627 + 2 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 11643273216 + 383533056 = 107904^2 + 19584^2 .

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3832288 + ... + 3835424.

Almost surely, 2^12026806272 is an apocalyptic number.

12026806272 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 12026806272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18714043530).

12026806272 is an abundant number, since it is smaller than the sum of its proper divisors (25401280788).

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

12026806272 is an equidigital number, since it uses as much as digits as its factorization.

12026806272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3186 (or 3155 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The spelling of 12026806272 in words is "twelve billion, twenty-six million, eight hundred six thousand, two hundred seventy-two".