12201222121200 has 240 divisors, whose sum is σ = 49631214946560. Its totient is φ = 2788850753280.

The previous prime is 12201222121183. The next prime is 12201222121201. The reversal of 12201222121200 is 212122210221.

It is a happy number.

12201222121200 is a `hidden beast` number, since 1 + 220 + 1 + 2 + 221 + 21 + 200 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12201222121201) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 80620314 + ... + 80771513.

It is an arithmetic number, because the mean of its divisors is an integer number (206796728944).

Almost surely, 2^{12201222121200} is an apocalyptic number.

12201222121200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12201222121200 is an abundant number, since it is smaller than the sum of its proper divisors (37429992825360).

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

12201222121200 is a wasteful number, since it uses less digits than its factorization.

12201222121200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 161391861 (or 161391844 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 12201222121200 its reverse (212122210221), we get a palindrome (12413344331421).

The spelling of 12201222121200 in words is "twelve trillion, two hundred one billion, two hundred twenty-two million, one hundred twenty-one thousand, two hundred".