12202202122200 has 288 divisors, whose sum is σ = 41495034147840. Its totient is φ = 3212992224000.

The previous prime is 12202202122193. The next prime is 12202202122223. The reversal of 12202202122200 is 222120220221.

12202202122200 is a `hidden beast` number, since 1 + 220 + 220 + 2 + 1 + 2 + 220 + 0 = 666.

12202202122200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 291458469 + ... + 291500331.

It is an arithmetic number, because the mean of its divisors is an integer number (144079979680).

Almost surely, 2^{12202202122200} is an apocalyptic number.

12202202122200 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 12202202122200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20747517073920).

12202202122200 is an abundant number, since it is smaller than the sum of its proper divisors (29292832025640).

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

12202202122200 is a wasteful number, since it uses less digits than its factorization.

12202202122200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 43919 (or 43907 counting only the distinct ones).

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

Adding to 12202202122200 its reverse (222120220221), we get a palindrome (12424322342421).

The spelling of 12202202122200 in words is "twelve trillion, two hundred two billion, two hundred two million, one hundred twenty-two thousand, two hundred".