12022222012200 has 72 divisors (see below), whose sum is σ = 40374628930350. Its totient is φ = 3205925869440.

The previous prime is 12022222012121. The next prime is 12022222012237. The reversal of 12022222012200 is 221022222021.

12022222012200 is a `hidden beast` number, since 1 + 2 + 0 + 222 + 220 + 1 + 220 + 0 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 10545515832996 + 1476706179204 = 3247386^2 + 1215198^2 .

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

It is a super-2 number, since 2×12022222012200² (a number of 27 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 3339504315 + ... + 3339507914.

Almost surely, 2^{12022222012200} is an apocalyptic number.

12022222012200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12022222012200 is an abundant number, since it is smaller than the sum of its proper divisors (28352406918150).

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

12022222012200 is a wasteful number, since it uses less digits than its factorization.

12022222012200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6679012251 (or 6679012239 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

Adding to 12022222012200 its reverse (221022222021), we get a palindrome (12243244234221).

The spelling of 12022222012200 in words is "twelve trillion, twenty-two billion, two hundred twenty-two million, twelve thousand, two hundred".