12303200 has 144 divisors (see below), whose sum is σ = 37185120. Its totient is φ = 3893760.

The previous prime is 12303197. The next prime is 12303209. The reversal of 12303200 is 230321.

It is a nialpdrome in base 16.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12303209) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 946394 + ... + 946406.

It is an arithmetic number, because the mean of its divisors is an integer number (258230).

Almost surely, 2^12303200 is an apocalyptic number.

12303200 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 12303200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18592560).

12303200 is an abundant number, since it is smaller than the sum of its proper divisors (24881920).

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

12303200 is an equidigital number, since it uses as much as digits as its factorization.

12303200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 66 (or 27 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 11.

The square root of 12303200 is about 3507.5917664403. The cubic root of 12303200 is about 230.8550404531.

Adding to 12303200 its reverse (230321), we get a palindrome (12533521).

The spelling of 12303200 in words is "twelve million, three hundred three thousand, two hundred".