12321288 has 128 divisors (see below), whose sum is σ = 40608000. Its totient is φ = 3386880.

The previous prime is 12321247. The next prime is 12321289. The reversal of 12321288 is 88212321.

It is a Harshad number since it is a multiple of its sum of digits (27).

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 (12321289) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 43708 + ... + 43988.

It is an arithmetic number, because the mean of its divisors is an integer number (317250).

Almost surely, 2^12321288 is an apocalyptic number.

12321288 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 12321288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20304000).

12321288 is an abundant number, since it is smaller than the sum of its proper divisors (28286712).

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

12321288 is a wasteful number, since it uses less digits than its factorization.

12321288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 332 (or 322 counting only the distinct ones).

The product of its digits is 1536, while the sum is 27.

The square root of 12321288 is about 3510.1692266898. The cubic root of 12321288 is about 230.9681183863.

The spelling of 12321288 in words is "twelve million, three hundred twenty-one thousand, two hundred eighty-eight".