12088320 has 88 divisors (see below), whose sum is σ = 38712864. Its totient is φ = 3219456.

The previous prime is 12088283. The next prime is 12088327. The reversal of 12088320 is 2388021.

It is a super-2 number, since 2×12088320² = 292254960844800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a nialpdrome in base 16.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12088327) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 14967 + ... + 15753.

Almost surely, 2^12088320 is an apocalyptic number.

12088320 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 12088320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19356432).

12088320 is an abundant number, since it is smaller than the sum of its proper divisors (26624544).

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

12088320 is an equidigital number, since it uses as much as digits as its factorization.

12088320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 815 (or 797 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 24.

The square root of 12088320 is about 3476.8261388801. The cubic root of 12088320 is about 229.5031492678.

The spelling of 12088320 in words is "twelve million, eighty-eight thousand, three hundred twenty".