12128688 has 240 divisors, whose sum is σ = 43330560. Its totient is φ = 3110400.

The previous prime is 12128687. The next prime is 12128693. The reversal of 12128688 is 88682121.

It is a Harshad number since it is a multiple of its sum of digits (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 (12128681) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 391233 + ... + 391263.

It is an arithmetic number, because the mean of its divisors is an integer number (180544).

Almost surely, 2^12128688 is an apocalyptic number.

12128688 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 12128688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21665280).

12128688 is an abundant number, since it is smaller than the sum of its proper divisors (31201872).

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

12128688 is a wasteful number, since it uses less digits than its factorization.

12128688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 88 (or 79 counting only the distinct ones).

The product of its digits is 12288, while the sum is 36.

The square root of 12128688 is about 3482.6265949711. The cubic root of 12128688 is about 229.7583346985.

The spelling of 12128688 in words is "twelve million, one hundred twenty-eight thousand, six hundred eighty-eight".