12001134200 has 96 divisors (see below), whose sum is σ = 30482937360. Its totient is φ = 4357785600.

The previous prime is 12001134161. The next prime is 12001134203. The reversal of 12001134200 is 243110021.

12001134200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12001134203) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1697072 + ... + 1704128.

Almost surely, 2^12001134200 is an apocalyptic number.

12001134200 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 12001134200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15241468680).

12001134200 is an abundant number, since it is smaller than the sum of its proper divisors (18481803160).

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

12001134200 is a wasteful number, since it uses less digits than its factorization.

12001134200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7857 (or 7848 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 14.

Adding to 12001134200 its reverse (243110021), we get a palindrome (12244244221).

The spelling of 12001134200 in words is "twelve billion, one million, one hundred thirty-four thousand, two hundred".