12202222120200 has 768 divisors, whose sum is σ = 48867043737600. Its totient is φ = 2740803609600.

The previous prime is 12202222120199. The next prime is 12202222120247. The reversal of 12202222120200 is 202122220221.

12202222120200 is a `hidden beast` number, since 1 + 220 + 2 + 2 + 221 + 20 + 200 = 666.

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 191 ways as a sum of consecutive naturals, for example, 3650079729 + ... + 3650083071.

It is an arithmetic number, because the mean of its divisors is an integer number (63628963200).

Almost surely, 2^{12202222120200} is an apocalyptic number.

12202222120200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12202222120200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24433521868800).

12202222120200 is an abundant number, since it is smaller than the sum of its proper divisors (36664821617400).

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

12202222120200 is a wasteful number, since it uses less digits than its factorization.

12202222120200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5019 (or 5004 counting only the distinct ones).

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

Adding to 12202222120200 its reverse (202122220221), we get a palindrome (12404344340421).

The spelling of 12202222120200 in words is "twelve trillion, two hundred two billion, two hundred twenty-two million, one hundred twenty thousand, two hundred".