200210122222020 has 432 divisors, whose sum is σ = 667814483319984. Its totient is φ = 48380903424000.

The previous prime is 200210122221983. The next prime is 200210122222027. The reversal of 200210122222020 is 20222221012002.

200210122222020 is a `hidden beast` number, since 20 + 0 + 210 + 12 + 222 + 202 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 5316907328964 + 194893214893056 = 2305842^2 + 13960416^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 200210122221984 and 200210122222002.

It is not an unprimeable number, because it can be changed into a prime (200210122222027) 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, 579137220 + ... + 579482820.

It is an arithmetic number, because the mean of its divisors is an integer number (1545866859537).

Almost surely, 2^{200210122222020} is an apocalyptic number.

200210122222020 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 200210122222020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (333907241659992).

200210122222020 is an abundant number, since it is smaller than the sum of its proper divisors (467604361097964).

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

200210122222020 is a wasteful number, since it uses less digits than its factorization.

200210122222020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 345892 (or 345856 counting only the distinct ones).

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

Adding to 200210122222020 its reverse (20222221012002), we get a palindrome (220432343234022).

The spelling of 200210122222020 in words is "two hundred trillion, two hundred ten billion, one hundred twenty-two million, two hundred twenty-two thousand, twenty".