12085200 has 150 divisors (see below), whose sum is σ = 43489094. Its totient is φ = 3214080.

The previous prime is 12085169. The next prime is 12085207. The reversal of 12085200 is 258021.

12085200 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 3 ways, for example, as 876096 + 11209104 = 936^2 + 3348^2 .

It is a tau number, because it is divible by the number of its divisors (150).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12085207) by changing a digit.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 32214 + ... + 32586.

Almost surely, 2^12085200 is an apocalyptic number.

12085200 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 12085200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21744547).

12085200 is an abundant number, since it is smaller than the sum of its proper divisors (31403894).

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

12085200 is a wasteful number, since it uses less digits than its factorization.

12085200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 403 (or 383 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 18.

The square root of 12085200 is about 3476.3774248490. The cubic root of 12085200 is about 229.4834026188.

The spelling of 12085200 in words is "twelve million, eighty-five thousand, two hundred".