12103200 has 162 divisors, whose sum is σ = 43745247. Its totient is φ = 3148800.

The previous prime is 12103163. The next prime is 12103207. The reversal of 12103200 is 230121.

It is a happy number.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 5 ways, for example, as 76176 + 12027024 = 276^2 + 3468^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=2460.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is not an unprimeable number, because it can be changed into a prime (12103207) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 295180 + ... + 295220.

Almost surely, 2^12103200 is an apocalyptic number.

12103200 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 12103200

12103200 is an abundant number, since it is smaller than the sum of its proper divisors (31642047).

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

12103200 is a wasteful number, since it uses less digits than its factorization.

12103200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 108 (or 51 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 9.

The square root of 12103200 is about 3478.9653634378. The cubic root of 12103200 is about 229.5972788793.

Adding to 12103200 its reverse (230121), we get a palindrome (12333321).

The spelling of 12103200 in words is "twelve million, one hundred three thousand, two hundred".