12083200 has 84 divisors (see below), whose sum is σ = 30472380. Its totient is φ = 4751360.

The previous prime is 12083177. The next prime is 12083207. The reversal of 12083200 is 238021.

It is a happy number.

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

It is a nialpdrome in base 16.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12083207) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 204771 + ... + 204829.

Almost surely, 2^12083200 is an apocalyptic number.

12083200 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 12083200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15236190).

12083200 is an abundant number, since it is smaller than the sum of its proper divisors (18389180).

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

12083200 is an frugal number, since it uses more digits than its factorization.

12083200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 95 (or 66 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

The square root of 12083200 is about 3476.0897571841. The cubic root of 12083200 is about 229.4707427227.

The spelling of 12083200 in words is "twelve million, eighty-three thousand, two hundred".