12215200 has 36 divisors (see below), whose sum is σ = 29822310. Its totient is φ = 4885760.

The previous prime is 12215191. The next prime is 12215201. The reversal of 12215200 is 251221.

It can be written as a sum of positive squares in 3 ways, for example, as 8785296 + 3429904 = 2964^2 + 1852^2 .

It is a super-2 number, since 2×12215200² = 298422222080000, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (12215201) 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 5 ways as a sum of consecutive naturals, for example, 6835 + ... + 8434.

Almost surely, 2^12215200 is an apocalyptic number.

12215200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12215200 is an abundant number, since it is smaller than the sum of its proper divisors (17607110).

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

12215200 is a wasteful number, since it uses less digits than its factorization.

12215200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15289 (or 15276 counting only the distinct ones).

The product of its (nonzero) digits is 40, while the sum is 13.

The square root of 12215200 is about 3495.0250356757. The cubic root of 12215200 is about 230.3033175239.

Adding to 12215200 its reverse (251221), we get a palindrome (12466421).

The spelling of 12215200 in words is "twelve million, two hundred fifteen thousand, two hundred".