202220000121200 has 240 divisors, whose sum is σ = 503414872020000. Its totient is φ = 78014269132800.

The previous prime is 202220000121193. The next prime is 202220000121221. The reversal of 202220000121200 is 2121000022202.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2210033051 + ... + 2210124549.

It is an arithmetic number, because the mean of its divisors is an integer number (2097561966750).

Almost surely, 2^{202220000121200} is an apocalyptic number.

202220000121200 is a gapful number since it is divisible by the number (20) 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 202220000121200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (251707436010000).

202220000121200 is an abundant number, since it is smaller than the sum of its proper divisors (301194871898800).

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

202220000121200 is a wasteful number, since it uses less digits than its factorization.

202220000121200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 93340 (or 93329 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 14.

Adding to 202220000121200 its reverse (2121000022202), we get a palindrome (204341000143402).

The spelling of 202220000121200 in words is "two hundred two trillion, two hundred twenty billion, one hundred twenty-one thousand, two hundred".