12205248 has 56 divisors (see below), whose sum is σ = 35234880. Its totient is φ = 3697920.

The previous prime is 12205247. The next prime is 12205253. The reversal of 12205248 is 84250221.

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

It is not an unprimeable number, because it can be changed into a prime (12205241) 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 7 ways as a sum of consecutive naturals, for example, 778 + ... + 5001.

Almost surely, 2^12205248 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 12205248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17617440).

12205248 is an abundant number, since it is smaller than the sum of its proper divisors (23029632).

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

12205248 is a wasteful number, since it uses less digits than its factorization.

12205248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5805 (or 5795 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 24.

The square root of 12205248 is about 3493.6010075565. The cubic root of 12205248 is about 230.2407560884.

Adding to 12205248 its reverse (84250221), we get a palindrome (96455469).

The spelling of 12205248 in words is "twelve million, two hundred five thousand, two hundred forty-eight".