12088560 has 160 divisors (see below), whose sum is σ = 43211520. Its totient is φ = 2764800.

The previous prime is 12088537. The next prime is 12088577. The reversal of 12088560 is 6588021.

12088560 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×12088560² = 292266565747200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 50040 + ... + 50280.

It is an arithmetic number, because the mean of its divisors is an integer number (270072).

Almost surely, 2^12088560 is an apocalyptic number.

12088560 is a gapful number since it is divisible by the number (10) 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 12088560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21605760).

12088560 is an abundant number, since it is smaller than the sum of its proper divisors (31122960).

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

12088560 is a wasteful number, since it uses less digits than its factorization.

12088560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 287 (or 281 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 30.

The square root of 12088560 is about 3476.8606529454. The cubic root of 12088560 is about 229.5046681001.

The spelling of 12088560 in words is "twelve million, eighty-eight thousand, five hundred sixty".