12220222120200 has 144 divisors (see below), whose sum is σ = 41058187822080. Its totient is φ = 3257248298880.

The previous prime is 12220222120133. The next prime is 12220222120207. The reversal of 12220222120200 is 202122202221.

12220222120200 is a `hidden beast` number, since 1 + 2 + 220 + 2 + 221 + 20 + 200 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (12220222120207) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 2434537 + ... + 5510663.

It is an arithmetic number, because the mean of its divisors is an integer number (285126304320).

Almost surely, 2^{12220222120200} is an apocalyptic number.

12220222120200 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 12220222120200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20529093911040).

12220222120200 is an abundant number, since it is smaller than the sum of its proper divisors (28837965701880).

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

12220222120200 is a wasteful number, since it uses less digits than its factorization.

12220222120200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3078356 (or 3078344 counting only the distinct ones).

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

Adding to 12220222120200 its reverse (202122202221), we get a palindrome (12422344322421).

The spelling of 12220222120200 in words is "twelve trillion, two hundred twenty billion, two hundred twenty-two million, one hundred twenty thousand, two hundred".