12116200 has 48 divisors (see below), whose sum is σ = 29155500. Its totient is φ = 4677120.

The previous prime is 12116191. The next prime is 12116201. The reversal of 12116200 is 261121.

It can be written as a sum of positive squares in 6 ways, for example, as 7107556 + 5008644 = 2666^2 + 2238^2 .

It is not an unprimeable number, because it can be changed into a prime (12116201) 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 11 ways as a sum of consecutive naturals, for example, 4756 + ... + 6844.

Almost surely, 2^12116200 is an apocalyptic number.

12116200 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 12116200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14577750).

12116200 is an abundant number, since it is smaller than the sum of its proper divisors (17039300).

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

12116200 is a wasteful number, since it uses less digits than its factorization.

12116200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2134 (or 2125 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 13.

The square root of 12116200 is about 3480.8332335807. The cubic root of 12116200 is about 229.6794526466.

Adding to 12116200 its reverse (261121), we get a palindrome (12377321).

The spelling of 12116200 in words is "twelve million, one hundred sixteen thousand, two hundred".