12105200 has 60 divisors (see below), whose sum is σ = 29683368. Its totient is φ = 4742400.

The previous prime is 12105193. The next prime is 12105211. The reversal of 12105200 is 250121.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 20915 + ... + 21485.

Almost surely, 2^12105200 is an apocalyptic number.

12105200 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 12105200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14841684).

12105200 is an abundant number, since it is smaller than the sum of its proper divisors (17578168).

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

12105200 is a wasteful number, since it uses less digits than its factorization.

12105200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 642 (or 631 counting only the distinct ones).

The product of its (nonzero) digits is 20, while the sum is 11.

The square root of 12105200 is about 3479.2527933451. The cubic root of 12105200 is about 229.6099248260.

Adding to 12105200 its reverse (250121), we get a palindrome (12355321).

The spelling of 12105200 in words is "twelve million, one hundred five thousand, two hundred".