12163200 has 192 divisors, whose sum is σ = 46038720. Its totient is φ = 2764800.

The previous prime is 12163181. The next prime is 12163231. The reversal of 12163200 is 236121.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a nialpdrome in base 16.

It is a self number, because there is not a number n which added to its sum of digits gives 12163200.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 67110 + ... + 67290.

It is an arithmetic number, because the mean of its divisors is an integer number (239785).

Almost surely, 2^12163200 is an apocalyptic number.

12163200 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 12163200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23019360).

12163200 is an abundant number, since it is smaller than the sum of its proper divisors (33875520).

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

12163200 is a wasteful number, since it uses less digits than its factorization.

12163200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 215 (or 198 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

The square root of 12163200 is about 3487.5779561180. The cubic root of 12163200 is about 229.9760529573.

Adding to 12163200 its reverse (236121), we get a palindrome (12399321).

The spelling of 12163200 in words is "twelve million, one hundred sixty-three thousand, two hundred".