12065200 has 120 divisors (see below), whose sum is σ = 34442240. Its totient is φ = 3974400.

The previous prime is 12065197. The next prime is 12065203. The reversal of 12065200 is 256021.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (12065197) and next prime (12065203).

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

It is not an unprimeable number, because it can be changed into a prime (12065203) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 86731 + ... + 86869.

Almost surely, 2^12065200 is an apocalyptic number.

12065200 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 12065200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17221120).

12065200 is an abundant number, since it is smaller than the sum of its proper divisors (22377040).

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

12065200 is a wasteful number, since it uses less digits than its factorization.

12065200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 195 (or 184 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 16.

The square root of 12065200 is about 3473.4996761192. The cubic root of 12065200 is about 229.3567407452.

The spelling of 12065200 in words is "twelve million, sixty-five thousand, two hundred".