12088128 has 112 divisors (see below), whose sum is σ = 35844480. Its totient is φ = 3569664.

The previous prime is 12088127. The next prime is 12088147. The reversal of 12088128 is 82188021.

It is a super-2 number, since 2×12088128² = 292245677088768, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 12088095 and 12088104.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12088127) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 72301 + ... + 72467.

It is an arithmetic number, because the mean of its divisors is an integer number (320040).

Almost surely, 2^12088128 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12088128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17922240).

12088128 is an abundant number, since it is smaller than the sum of its proper divisors (23756352).

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

12088128 is a wasteful number, since it uses less digits than its factorization.

12088128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 224 (or 214 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 30.

The square root of 12088128 is about 3476.7985273812. The cubic root of 12088128 is about 229.5019341875.

The spelling of 12088128 in words is "twelve million, eighty-eight thousand, one hundred twenty-eight".