12264088640 has 56 divisors (see below), whose sum is σ = 29233243032. Its totient is φ = 4900700160.

The previous prime is 12264088621. The next prime is 12264088649. The reversal of 12264088640 is 4688046221.

12264088640 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 4 ways, for example, as 1245807616 + 11018281024 = 35296^2 + 104968^2 .

It is not an unprimeable number, because it can be changed into a prime (12264088649) 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 7 ways as a sum of consecutive naturals, for example, 307952 + ... + 345488.

It is an arithmetic number, because the mean of its divisors is an integer number (522022197).

Almost surely, 2^12264088640 is an apocalyptic number.

12264088640 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12264088640 is an abundant number, since it is smaller than the sum of its proper divisors (16969154392).

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

12264088640 is a wasteful number, since it uses less digits than its factorization.

12264088640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38575 (or 38565 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 41.

The spelling of 12264088640 in words is "twelve billion, two hundred sixty-four million, eighty-eight thousand, six hundred forty".