12241224 has 96 divisors (see below), whose sum is σ = 35844120. Its totient is φ = 3760128.

The previous prime is 12241223. The next prime is 12241231. The reversal of 12241224 is 42214221.

It can be written as a sum of positive squares in 4 ways, for example, as 11902500 + 338724 = 3450^2 + 582^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 12241197 and 12241206.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12241223) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 89284 + ... + 89420.

Almost surely, 2^12241224 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12241224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17922060).

12241224 is an abundant number, since it is smaller than the sum of its proper divisors (23602896).

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

12241224 is a wasteful number, since it uses less digits than its factorization.

12241224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 239 (or 232 counting only the distinct ones).

The product of its digits is 256, while the sum is 18.

The square root of 12241224 is about 3498.7460610910. The cubic root of 12241224 is about 230.4667522152.

Adding to 12241224 its reverse (42214221), we get a palindrome (54455445).

The spelling of 12241224 in words is "twelve million, two hundred forty-one thousand, two hundred twenty-four".