12201222011200 has 84 divisors (see below), whose sum is σ = 30023320724892. Its totient is φ = 4880376832000.

The previous prime is 12201222011191. The next prime is 12201222011227. The reversal of 12201222011200 is 211022210221.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 139881984064 + 12061340027136 = 374008^2 + 3472944^2 .

It is a super-3 number, since 3×12201222011200³ (a number of 40 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (16).

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 11 ways as a sum of consecutive naturals, for example, 131635272 + ... + 131727928.

Almost surely, 2^{12201222011200} is an apocalyptic number.

12201222011200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12201222011200 is an abundant number, since it is smaller than the sum of its proper divisors (17822098713692).

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

12201222011200 is an equidigital number, since it uses as much as digits as its factorization.

12201222011200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 174980 (or 174965 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 12201222011200 its reverse (211022210221), we get a palindrome (12412244221421).

The spelling of 12201222011200 in words is "twelve trillion, two hundred one billion, two hundred twenty-two million, eleven thousand, two hundred".