12000221011200 has 864 divisors, whose sum is σ = 43163451362304. Its totient is φ = 2923804753920.

The previous prime is 12000221011193. The next prime is 12000221011243. The reversal of 12000221011200 is 211012200021.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 7330616782 + ... + 7330618418.

It is an arithmetic number, because the mean of its divisors is an integer number (49957698336).

Almost surely, 2^{12000221011200} is an apocalyptic number.

12000221011200 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 12000221011200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21581725681152).

12000221011200 is an abundant number, since it is smaller than the sum of its proper divisors (31163230351104).

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

12000221011200 is a wasteful number, since it uses less digits than its factorization.

12000221011200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2327 (or 2308 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 12000221011200 its reverse (211012200021), we get a palindrome (12211233211221).

The spelling of 12000221011200 in words is "twelve trillion, two hundred twenty-one million, eleven thousand, two hundred".