201112221200 has 180 divisors, whose sum is σ = 539878560144. Its totient is φ = 71361696000.

The previous prime is 201112221197. The next prime is 201112221221. The reversal of 201112221200 is 2122211102.

201112221200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×201112221200² (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 195064685 + ... + 195065715.

Almost surely, 2^201112221200 is an apocalyptic number.

201112221200 is a gapful number since it is divisible by the number (20) 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 201112221200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (269939280072).

201112221200 is an abundant number, since it is smaller than the sum of its proper divisors (338766338944).

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

201112221200 is a wasteful number, since it uses less digits than its factorization.

201112221200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2134 (or 1092 counting only the distinct ones).

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

Adding to 201112221200 its reverse (2122211102), we get a palindrome (203234432302).

The spelling of 201112221200 in words is "two hundred one billion, one hundred twelve million, two hundred twenty-one thousand, two hundred".