12011201220200 has 384 divisors, whose sum is σ = 34670880921600. Its totient is φ = 3768253332480.

The previous prime is 12011201220181. The next prime is 12011201220217. The reversal of 12011201220200 is 202210211021.

12011201220200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1151927387 + ... + 1151937813.

It is an arithmetic number, because the mean of its divisors is an integer number (90288752400).

Almost surely, 2^{12011201220200} is an apocalyptic number.

12011201220200 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 12011201220200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17335440460800).

12011201220200 is an abundant number, since it is smaller than the sum of its proper divisors (22659679701400).

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

12011201220200 is a wasteful number, since it uses less digits than its factorization.

12011201220200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11009 (or 11000 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 12011201220200 its reverse (202210211021), we get a palindrome (12213411431221).

The spelling of 12011201220200 in words is "twelve trillion, eleven billion, two hundred one million, two hundred twenty thousand, two hundred".