12227200 has 48 divisors (see below), whose sum is σ = 30212910. Its totient is φ = 4889600.

The previous prime is 12227197. The next prime is 12227209. The reversal of 12227200 is 272221.

It can be written as a sum of positive squares in 3 ways, for example, as 11128896 + 1098304 = 3336^2 + 1048^2 .

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

It is not an unprimeable number, because it can be changed into a prime (12227209) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1290 + ... + 5110.

Almost surely, 2^12227200 is an apocalyptic number.

12227200 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 12227200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15106455).

12227200 is an abundant number, since it is smaller than the sum of its proper divisors (17985710).

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

12227200 is an equidigital number, since it uses as much as digits as its factorization.

12227200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3845 (or 3828 counting only the distinct ones).

The product of its (nonzero) digits is 112, while the sum is 16.

The square root of 12227200 is about 3496.7413401623. The cubic root of 12227200 is about 230.3787081662.

Adding to 12227200 its reverse (272221), we get a palindrome (12499421).

The spelling of 12227200 in words is "twelve million, two hundred twenty-seven thousand, two hundred".