12208128 has 48 divisors (see below), whose sum is σ = 32563440. Its totient is φ = 4067328.

The previous prime is 12208123. The next prime is 12208153. The reversal of 12208128 is 82180221.

It is a tau number, because it is divible by the number of its divisors (48).

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 = 12208098 and 12208107.

It is not an unprimeable number, because it can be changed into a prime (12208121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 5151 + ... + 7137.

It is an arithmetic number, because the mean of its divisors is an integer number (678405).

Almost surely, 2^12208128 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 12208128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16281720).

12208128 is an abundant number, since it is smaller than the sum of its proper divisors (20355312).

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

12208128 is an equidigital number, since it uses as much as digits as its factorization.

12208128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2012 (or 1992 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 24.

The square root of 12208128 is about 3494.0131654016. The cubic root of 12208128 is about 230.2588641796.

Adding to 12208128 its reverse (82180221), we get a palindrome (94388349).

The spelling of 12208128 in words is "twelve million, two hundred eight thousand, one hundred twenty-eight".