12240200 has 72 divisors (see below), whose sum is σ = 33131250. Its totient is φ = 4193280.

The previous prime is 12240197. The next prime is 12240203. The reversal of 12240200 is 204221.

It is an interprime number because it is at equal distance from previous prime (12240197) and next prime (12240203).

It can be written as a sum of positive squares in 3 ways, for example, as 8561476 + 3678724 = 2926^2 + 1918^2 .

It is not an unprimeable number, because it can be changed into a prime (12240203) 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 17 ways as a sum of consecutive naturals, for example, 9176 + ... + 10424.

Almost surely, 2^12240200 is an apocalyptic number.

12240200 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 12240200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16565625).

12240200 is an abundant number, since it is smaller than the sum of its proper divisors (20891050).

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

12240200 is a wasteful number, since it uses less digits than its factorization.

12240200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1279 (or 1263 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 11.

The square root of 12240200 is about 3498.5997198879. The cubic root of 12240200 is about 230.4603257191.

Adding to 12240200 its reverse (204221), we get a palindrome (12444421).

The spelling of 12240200 in words is "twelve million, two hundred forty thousand, two hundred".