12181328928 has 36 divisors (see below), whose sum is σ = 34640654958. Its totient is φ = 4060442880.

The previous prime is 12181328921. The next prime is 12181328953. The reversal of 12181328928 is 82982318121.

It can be written as a sum of positive squares in only one way, i.e., 7504410384 + 4676918544 = 86628^2 + 68388^2 .

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

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

It is not an unprimeable number, because it can be changed into a prime (12181328921) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 21147853 + ... + 21148428.

Almost surely, 2^12181328928 is an apocalyptic number.

12181328928 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

12181328928 is an abundant number, since it is smaller than the sum of its proper divisors (22459326030).

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

12181328928 is a wasteful number, since it uses less digits than its factorization.

12181328928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42296297 (or 42296286 counting only the distinct ones).

The product of its digits is 110592, while the sum is 45.

The spelling of 12181328928 in words is "twelve billion, one hundred eighty-one million, three hundred twenty-eight thousand, nine hundred twenty-eight".