12123200 has 42 divisors (see below), whose sum is σ = 29834586. Its totient is φ = 4848640.

The previous prime is 12123187. The next prime is 12123211. The reversal of 12123200 is 232121.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 123904 + 11999296 = 352^2 + 3464^2 .

It is an unprimeable number.

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, 2189 + ... + 5388.

Almost surely, 2^12123200 is an apocalyptic number.

12123200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12123200 is an abundant number, since it is smaller than the sum of its proper divisors (17711386).

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

12123200 is an equidigital number, since it uses as much as digits as its factorization.

12123200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7599 (or 7584 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 11.

The square root of 12123200 is about 3481.8385947657. The cubic root of 12123200 is about 229.7236757156.

Adding to 12123200 its reverse (232121), we get a palindrome (12355321).

The spelling of 12123200 in words is "twelve million, one hundred twenty-three thousand, two hundred".