220212202020200 has 192 divisors, whose sum is σ = 580450797729600. Its totient is φ = 77022598809600.

The previous prime is 220212202020179. The next prime is 220212202020203. The reversal of 220212202020200 is 2020202212022.

It is a super-2 number, since 2×220212202020200² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (220212202020203) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 551153699 + ... + 551553101.

It is an arithmetic number, because the mean of its divisors is an integer number (3023181238175).

Almost surely, 2^{220212202020200} is an apocalyptic number.

220212202020200 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 220212202020200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (290225398864800).

220212202020200 is an abundant number, since it is smaller than the sum of its proper divisors (360238595709400).

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

220212202020200 is a wasteful number, since it uses less digits than its factorization.

220212202020200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 410612 (or 410603 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 17.

Adding to 220212202020200 its reverse (2020202212022), we get a palindrome (222232404232222).

The spelling of 220212202020200 in words is "two hundred twenty trillion, two hundred twelve billion, two hundred two million, twenty thousand, two hundred".