12243120 has 80 divisors (see below), whose sum is σ = 38330880. Its totient is φ = 3232512.

The previous prime is 12243113. The next prime is 12243139. The reversal of 12243120 is 2134221.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 12243120.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 33177 + ... + 33543.

It is an arithmetic number, because the mean of its divisors is an integer number (479136).

Almost surely, 2^12243120 is an apocalyptic number.

12243120 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 12243120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19165440).

12243120 is an abundant number, since it is smaller than the sum of its proper divisors (26087760).

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

12243120 is a wasteful number, since it uses less digits than its factorization.

12243120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 522 (or 516 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

The square root of 12243120 is about 3499.0170048172. The cubic root of 12243120 is about 230.4786503283.

Adding to 12243120 its reverse (2134221), we get a palindrome (14377341).

The spelling of 12243120 in words is "twelve million, two hundred forty-three thousand, one hundred twenty".