12275833728 has 64 divisors (see below), whose sum is σ = 34323897600. Its totient is φ = 3876576768.

The previous prime is 12275833711. The next prime is 12275833729. The reversal of 12275833728 is 82733857221.

12275833728 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12275833729) 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, 833976 + ... + 848567.

It is an arithmetic number, because the mean of its divisors is an integer number (536310900).

Almost surely, 2^12275833728 is an apocalyptic number.

It is an amenable number.

12275833728 is an abundant number, since it is smaller than the sum of its proper divisors (22048063872).

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

12275833728 is a wasteful number, since it uses less digits than its factorization.

12275833728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1682579 (or 1682567 counting only the distinct ones).

The product of its digits is 1128960, while the sum is 48.

The spelling of 12275833728 in words is "twelve billion, two hundred seventy-five million, eight hundred thirty-three thousand, seven hundred twenty-eight".