12001200 has 120 divisors (see below), whose sum is σ = 39254928. Its totient is φ = 3133440.

The previous prime is 12001189. The next prime is 12001207. The reversal of 12001200 is 210021.

It is a happy number.

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

It is a Harshad number since it is a multiple of its sum of digits (6).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is not an unprimeable number, because it can be changed into a prime (12001207) 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, 87532 + ... + 87668.

Almost surely, 2^12001200 is an apocalyptic number.

12001200 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 12001200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19627464).

12001200 is an abundant number, since it is smaller than the sum of its proper divisors (27253728).

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

12001200 is a wasteful number, since it uses less digits than its factorization.

12001200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 231 (or 220 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 6.

The square root of 12001200 is about 3464.2748158886. The cubic root of 12001200 is about 228.9504796846.

Adding to 12001200 its reverse (210021), we get a palindrome (12211221).

The spelling of 12001200 in words is "twelve million, one thousand, two hundred".