12273827328 has 360 divisors, whose sum is σ = 43390381320. Its totient is φ = 3321077760.

The previous prime is 12273827327. The next prime is 12273827339. The reversal of 12273827328 is 82372837221.

12273827328 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12273827323) 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 35 ways as a sum of consecutive naturals, for example, 4288618 + ... + 4291478.

It is an arithmetic number, because the mean of its divisors is an integer number (120528837).

Almost surely, 2^12273827328 is an apocalyptic number.

12273827328 is a gapful number since it is divisible by the number (18) 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 12273827328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21695190660).

12273827328 is an abundant number, since it is smaller than the sum of its proper divisors (31116553992).

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

12273827328 is a wasteful number, since it uses less digits than its factorization.

12273827328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2918 (or 2892 counting only the distinct ones).

The product of its digits is 451584, while the sum is 45.

The spelling of 12273827328 in words is "twelve billion, two hundred seventy-three million, eight hundred twenty-seven thousand, three hundred twenty-eight".