12191200 has 108 divisors (see below), whose sum is σ = 34732152. Its totient is φ = 4166400.

The previous prime is 12191191. The next prime is 12191203. The reversal of 12191200 is 219121.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12191203) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 39045 + ... + 39355.

It is an arithmetic number, because the mean of its divisors is an integer number (321594).

Almost surely, 2^12191200 is an apocalyptic number.

12191200 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 12191200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17366076).

12191200 is an abundant number, since it is smaller than the sum of its proper divisors (22540952).

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

12191200 is a wasteful number, since it uses less digits than its factorization.

12191200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 345 (or 325 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 16.

The square root of 12191200 is about 3491.5898957352. The cubic root of 12191200 is about 230.1523879850.

The spelling of 12191200 in words is "twelve million, one hundred ninety-one thousand, two hundred".