220212200000 has 168 divisors, whose sum is σ = 588216429864. Its totient is φ = 81308160000.

The previous prime is 220212199939. The next prime is 220212200027. The reversal of 220212200000 is 2212022.

220212200000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 12 ways, for example, as 209573515264 + 10638684736 = 457792^2 + 103144^2 .

It is a super-4 number, since 4×220212200000⁴ (a number of 46 digits) contains 4444 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2557652 + ... + 2642348.

It is an arithmetic number, because the mean of its divisors is an integer number (3501288273).

Almost surely, 2^220212200000 is an apocalyptic number.

220212200000 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 220212200000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (294108214932).

220212200000 is an abundant number, since it is smaller than the sum of its proper divisors (368004229864).

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

220212200000 is an frugal number, since it uses more digits than its factorization.

220212200000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 84747 (or 84717 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 11.

Adding to 220212200000 its reverse (2212022), we get a palindrome (220214412022).

The spelling of 220212200000 in words is "two hundred twenty billion, two hundred twelve million, two hundred thousand".