201222121212200 has 192 divisors, whose sum is σ = 514223196984000. Its totient is φ = 72619971840000.

The previous prime is 201222121212199. The next prime is 201222121212271. The reversal of 201222121212200 is 2212121222102.

It is a Harshad number since it is a multiple of its sum of digits (20).

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, 889459100 + ... + 889685300.

It is an arithmetic number, because the mean of its divisors is an integer number (2678245817625).

Almost surely, 2^{201222121212200} is an apocalyptic number.

201222121212200 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 201222121212200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (257111598492000).

201222121212200 is an abundant number, since it is smaller than the sum of its proper divisors (313001075771800).

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

201222121212200 is a wasteful number, since it uses less digits than its factorization.

201222121212200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 229276 (or 229267 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 20.

Adding to 201222121212200 its reverse (2212121222102), we get a palindrome (203434242434302).

The spelling of 201222121212200 in words is "two hundred one trillion, two hundred twenty-two billion, one hundred twenty-one million, two hundred twelve thousand, two hundred".