210222222201200 has 720 divisors, whose sum is σ = 584124371314176. Its totient is φ = 72568742400000.

The previous prime is 210222222201179. The next prime is 210222222201209. The reversal of 210222222201200 is 2102222222012.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (210222222201209) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 23124208655 + ... + 23124217745.

Almost surely, 2^{210222222201200} is an apocalyptic number.

210222222201200 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 210222222201200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (292062185657088).

210222222201200 is an abundant number, since it is smaller than the sum of its proper divisors (373902149112976).

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

210222222201200 is a wasteful number, since it uses less digits than its factorization.

210222222201200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9486 (or 9464 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 20.

Adding to 210222222201200 its reverse (2102222222012), we get a palindrome (212324444423212).

210222222201200 divided by its reverse (2102222222012) gives a square (100 = 10²).

It can be divided in two parts, 21022 and 2222201200, that added together give a palindrome (2222222222).

The spelling of 210222222201200 in words is "two hundred ten trillion, two hundred twenty-two billion, two hundred twenty-two million, two hundred one thousand, two hundred".