12248629128 has 36 divisors (see below), whose sum is σ = 33175914135. Its totient is φ = 4082563344.

The previous prime is 12248629117. The next prime is 12248629171. The reversal of 12248629128 is 82192684221.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

12248629128 is a `hidden beast` number, since 1 + 2 + 2 + 4 + 8 + 629 + 12 + 8 = 666.

12248629128 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 only one way, i.e., 6124314564 + 6124314564 = 78258^2 + 78258^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=78258.

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

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 8 ways as a sum of consecutive naturals, for example, 932575 + ... + 945617.

Almost surely, 2^12248629128 is an apocalyptic number.

12248629128 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

12248629128 is an abundant number, since it is smaller than the sum of its proper divisors (20927285007).

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

12248629128 is an frugal number, since it uses more digits than its factorization.

12248629128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26098 (or 13048 counting only the distinct ones).

The product of its digits is 221184, while the sum is 45.

The spelling of 12248629128 in words is "twelve billion, two hundred forty-eight million, six hundred twenty-nine thousand, one hundred twenty-eight".