12128652288 has 440 divisors, whose sum is σ = 38520282240. Its totient is φ = 3795517440.

The previous prime is 12128652241. The next prime is 12128652317. The reversal of 12128652288 is 88225682121.

12128652288 is a `hidden beast` number, since 1 + 21 + 28 + 6 + 522 + 88 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 136276948 + ... + 136277036.

It is an arithmetic number, because the mean of its divisors is an integer number (87546096).

Almost surely, 2^12128652288 is an apocalyptic number.

12128652288 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 12128652288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19260141120).

12128652288 is an abundant number, since it is smaller than the sum of its proper divisors (26391629952).

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

12128652288 is an equidigital number, since it uses as much as digits as its factorization.

12128652288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 205 (or 178 counting only the distinct ones).

The product of its digits is 245760, while the sum is 45.

The spelling of 12128652288 in words is "twelve billion, one hundred twenty-eight million, six hundred fifty-two thousand, two hundred eighty-eight".