220212200210200 has 192 divisors, whose sum is σ = 582948421413120. Its totient is φ = 76578997440000.

The previous prime is 220212200210161. The next prime is 220212200210209. The reversal of 220212200210200 is 2012002212022.

It is a super-4 number, since 4×220212200210200⁴ (a number of 58 digits) contains 4444 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (220212200210209) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 234872742 + ... + 235808458.

It is an arithmetic number, because the mean of its divisors is an integer number (3036189694860).

Almost surely, 2^{220212200210200} is an apocalyptic number.

220212200210200 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 220212200210200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (291474210706560).

220212200210200 is an abundant number, since it is smaller than the sum of its proper divisors (362736221202920).

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

220212200210200 is a wasteful number, since it uses less digits than its factorization.

220212200210200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 940418 (or 940409 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

Adding to 220212200210200 its reverse (2012002212022), we get a palindrome (222224202422222).

The spelling of 220212200210200 in words is "two hundred twenty trillion, two hundred twelve billion, two hundred million, two hundred ten thousand, two hundred".