12201122212200 has 72 divisors (see below), whose sum is σ = 40975435435350. Its totient is φ = 3253632589440.

The previous prime is 12201122212129. The next prime is 12201122212229. The reversal of 12201122212200 is 221222110221.

It is a happy number.

12201122212200 is a `hidden beast` number, since 1 + 220 + 1 + 1 + 2 + 221 + 220 + 0 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 8629952031684 + 3571170180516 = 2937678^2 + 1889754^2 .

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 an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 3389198815 + ... + 3389202414.

Almost surely, 2^{12201122212200} is an apocalyptic number.

12201122212200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12201122212200 is an abundant number, since it is smaller than the sum of its proper divisors (28774313223150).

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

12201122212200 is a wasteful number, since it uses less digits than its factorization.

12201122212200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6778401251 (or 6778401239 counting only the distinct ones).

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

Adding to 12201122212200 its reverse (221222110221), we get a palindrome (12422344322421).

The spelling of 12201122212200 in words is "twelve trillion, two hundred one billion, one hundred twenty-two million, two hundred twelve thousand, two hundred".