202200021122220 has 288 divisors, whose sum is σ = 677027024593920. Its totient is φ = 48440456064000.

The previous prime is 202200021122173. The next prime is 202200021122227. The reversal of 202200021122220 is 22221120002202.

202200021122220 is a `hidden beast` number, since 202 + 200 + 0 + 21 + 1 + 22 + 220 = 666.

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 = 202200021122193 and 202200021122202.

It is not an unprimeable number, because it can be changed into a prime (202200021122227) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 60360960 + ... + 63622680.

It is an arithmetic number, because the mean of its divisors is an integer number (2350788279840).

Almost surely, 2^{202200021122220} is an apocalyptic number.

202200021122220 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 202200021122220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (338513512296960).

202200021122220 is an abundant number, since it is smaller than the sum of its proper divisors (474827003471700).

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

202200021122220 is a wasteful number, since it uses less digits than its factorization.

202200021122220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3262117 (or 3262112 counting only the distinct ones).

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

Adding to 202200021122220 its reverse (22221120002202), we get a palindrome (224421141124422).

The spelling of 202200021122220 in words is "two hundred two trillion, two hundred billion, twenty-one million, one hundred twenty-two thousand, two hundred twenty".