12201133200 has 120 divisors (see below), whose sum is σ = 39347184000. Its totient is φ = 3231751680.

The previous prime is 12201133181. The next prime is 12201133207. The reversal of 12201133200 is 233110221.

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 (15).

It is a self number, because there is not a number n which added to its sum of digits gives 12201133200.

It is not an unprimeable number, because it can be changed into a prime (12201133207) 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, 144681 + ... + 212919.

It is an arithmetic number, because the mean of its divisors is an integer number (327893200).

Almost surely, 2^12201133200 is an apocalyptic number.

12201133200 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 12201133200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19673592000).

12201133200 is an abundant number, since it is smaller than the sum of its proper divisors (27146050800).

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

12201133200 is a wasteful number, since it uses less digits than its factorization.

12201133200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 68409 (or 68398 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 12201133200 its reverse (233110221), we get a palindrome (12434243421).

The spelling of 12201133200 in words is "twelve billion, two hundred one million, one hundred thirty-three thousand, two hundred".