12242320 has 40 divisors (see below), whose sum is σ = 28696824. Its totient is φ = 4856832.

The previous prime is 12242309. The next prime is 12242339. The reversal of 12242320 is 2324221.

12242320 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 76176 + 12166144 = 276^2 + 3488^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 12242294 and 12242303.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 10402 + ... + 11518.

Almost surely, 2^12242320 is an apocalyptic number.

12242320 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 12242320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14348412).

12242320 is an abundant number, since it is smaller than the sum of its proper divisors (16454504).

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

12242320 is a wasteful number, since it uses less digits than its factorization.

12242320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1267 (or 1261 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 16.

The square root of 12242320 is about 3498.9026851286. The cubic root of 12242320 is about 230.4736301772.

Adding to 12242320 its reverse (2324221), we get a palindrome (14566541).

The spelling of 12242320 in words is "twelve million, two hundred forty-two thousand, three hundred twenty".