12220122220200 has 72 divisors (see below), whose sum is σ = 41039243795550. Its totient is φ = 3258699258240.

The previous prime is 12220122220199. The next prime is 12220122220217. The reversal of 12220122220200 is 202222102221.

12220122220200 is a `hidden beast` number, since 1 + 2 + 220 + 1 + 22 + 220 + 200 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 8987656235364 + 3232465984836 = 2997942^2 + 1797906^2 .

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 pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 3394476595 + ... + 3394480194.

Almost surely, 2^{12220122220200} is an apocalyptic number.

12220122220200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12220122220200 is an abundant number, since it is smaller than the sum of its proper divisors (28819121575350).

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

12220122220200 is a wasteful number, since it uses less digits than its factorization.

12220122220200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6788956811 (or 6788956799 counting only the distinct ones).

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

Adding to 12220122220200 its reverse (202222102221), we get a palindrome (12422344322421).

The spelling of 12220122220200 in words is "twelve trillion, two hundred twenty billion, one hundred twenty-two million, two hundred twenty thousand, two hundred".