12544224 has 96 divisors (see below), whose sum is σ = 41078016. Its totient is φ = 3256320.

The previous prime is 12544219. The next prime is 12544229. The reversal of 12544224 is 42244521.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (12544219) and next prime (12544229).

It is a tau number, because it is divible by the number of its divisors (96).

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

It is a junction number, because it is equal to n+sod(n) for n = 12544194 and 12544203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12544229) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6544 + ... + 8240.

It is an arithmetic number, because the mean of its divisors is an integer number (427896).

Almost surely, 2^12544224 is an apocalyptic number.

12544224 is a gapful number since it is divisible by the number (14) 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 12544224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20539008).

12544224 is an abundant number, since it is smaller than the sum of its proper divisors (28533792).

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

12544224 is a wasteful number, since it uses less digits than its factorization.

12544224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1728 (or 1720 counting only the distinct ones).

The product of its digits is 2560, while the sum is 24.

The square root of 12544224 is about 3541.7826020240. The cubic root of 12544224 is about 232.3528123785.

Adding to 12544224 its reverse (42244521), we get a palindrome (54788745).

The spelling of 12544224 in words is "twelve million, five hundred forty-four thousand, two hundred twenty-four".