12097200 has 120 divisors (see below), whose sum is σ = 41100048. Its totient is φ = 3031040.

The previous prime is 12097177. The next prime is 12097201. The reversal of 12097200 is 279021.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (120).

It is not an unprimeable number, because it can be changed into a prime (12097201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 20104 + ... + 20696.

Almost surely, 2^12097200 is an apocalyptic number.

12097200 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 12097200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20550024).

12097200 is an abundant number, since it is smaller than the sum of its proper divisors (29002848).

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

12097200 is a wasteful number, since it uses less digits than its factorization.

12097200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 631 (or 620 counting only the distinct ones).

The product of its (nonzero) digits is 252, while the sum is 21.

The square root of 12097200 is about 3478.1029311968. The cubic root of 12097200 is about 229.5593326784.

The spelling of 12097200 in words is "twelve million, ninety-seven thousand, two hundred".