12276640000 has 135 divisors (see below), whose sum is σ = 30732800637. Its totient is φ = 4892928000.

The previous prime is 12276639961. The next prime is 12276640043. The reversal of 12276640000 is 4667221.

The square root of 12276640000 is 110800.

It is a perfect power (a square), and thus also a powerful number.

12276640000 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 7 ways, for example, as 12022683904 + 253956096 = 109648^2 + 15936^2 .

It is a Duffinian 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 14 ways as a sum of consecutive naturals, for example, 44319862 + ... + 44320138.

Almost surely, 2^12276640000 is an apocalyptic number.

12276640000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

12276640000 is the 110800-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12276640000

12276640000 is an abundant number, since it is smaller than the sum of its proper divisors (18456160637).

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

12276640000 is an frugal number, since it uses more digits than its factorization.

12276640000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 590 (or 284 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 28.

The spelling of 12276640000 in words is "twelve billion, two hundred seventy-six million, six hundred forty thousand".