12000442266 has 96 divisors (see below), whose sum is σ = 27252061200. Its totient is φ = 3811691520.

The previous prime is 12000442247. The next prime is 12000442291. The reversal of 12000442266 is 66224400021.

12000442266 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 3459910041 + 8540532225 = 58821^2 + 92415^2 .

It is a super-2 number, since 2×12000442266² (a number of 21 digits) contains 22 as substring.

It is a Curzon number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 14833270 + ... + 14834078.

Almost surely, 2^12000442266 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12000442266, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13626030600).

12000442266 is an abundant number, since it is smaller than the sum of its proper divisors (15251618934).

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

12000442266 is a wasteful number, since it uses less digits than its factorization.

12000442266 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1184 (or 1181 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 12000442266 its reverse (66224400021), we get a palindrome (78224842287).

The spelling of 12000442266 in words is "twelve billion, four hundred forty-two thousand, two hundred sixty-six".