12202121122200 has 72 divisors (see below), whose sum is σ = 40978790108100. Its totient is φ = 3253898965440.

The previous prime is 12202121122129. The next prime is 12202121122201. The reversal of 12202121122200 is 222112120221.

It is a happy number.

12202121122200 is a `hidden beast` number, since 1 + 220 + 2 + 121 + 122 + 200 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

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 (12202121122201) by changing a digit.

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 17 ways as a sum of consecutive naturals, for example, 3389476290 + ... + 3389479889.

Almost surely, 2^{12202121122200} is an apocalyptic number.

12202121122200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12202121122200 is an abundant number, since it is smaller than the sum of its proper divisors (28776668985900).

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

12202121122200 is a wasteful number, since it uses less digits than its factorization.

12202121122200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6778956201 (or 6778956189 counting only the distinct ones).

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

Adding to 12202121122200 its reverse (222112120221), we get a palindrome (12424233242421).

The spelling of 12202121122200 in words is "twelve trillion, two hundred two billion, one hundred twenty-one million, one hundred twenty-two thousand, two hundred".