12002211200 has 192 divisors, whose sum is σ = 34159718400. Its totient is φ = 4081674240.

The previous prime is 12002211163. The next prime is 12002211203. The reversal of 12002211200 is 211220021.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12002211203) 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, 2842691 + ... + 2846909.

It is an arithmetic number, because the mean of its divisors is an integer number (177915200).

Almost surely, 2^12002211200 is an apocalyptic number.

12002211200 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 12002211200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17079859200).

12002211200 is an abundant number, since it is smaller than the sum of its proper divisors (22157507200).

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

12002211200 is a wasteful number, since it uses less digits than its factorization.

12002211200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4377 (or 4360 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

Adding to 12002211200 its reverse (211220021), we get a palindrome (12213431221).

The spelling of 12002211200 in words is "twelve billion, two million, two hundred eleven thousand, two hundred".