12107200 has 168 divisors, whose sum is σ = 36283392. Its totient is φ = 3886080.

The previous prime is 12107189. The next prime is 12107201. The reversal of 12107200 is 270121.

12107200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12107201) 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, 257577 + ... + 257623.

Almost surely, 2^12107200 is an apocalyptic number.

12107200 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 12107200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18141696).

12107200 is an abundant number, since it is smaller than the sum of its proper divisors (24176192).

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

12107200 is a wasteful number, since it uses less digits than its factorization.

12107200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 99 (or 84 counting only the distinct ones).

The product of its (nonzero) digits is 28, while the sum is 13.

The square root of 12107200 is about 3479.5401995091. The cubic root of 12107200 is about 229.6225693799.

Adding to 12107200 its reverse (270121), we get a palindrome (12377321).

The spelling of 12107200 in words is "twelve million, one hundred seven thousand, two hundred".