220020212000 has 96 divisors (see below), whose sum is σ = 541334377584. Its totient is φ = 87886848000.

The previous prime is 220020211991. The next prime is 220020212023. The reversal of 220020212000 is 212020022.

220020212000 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 8 ways, for example, as 101080756624 + 118939455376 = 317932^2 + 344876^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2894480 + ... + 2969520.

Almost surely, 2^220020212000 is an apocalyptic number.

220020212000 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 220020212000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (270667188792).

220020212000 is an abundant number, since it is smaller than the sum of its proper divisors (321314165584).

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

220020212000 is an equidigital number, since it uses as much as digits as its factorization.

220020212000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 75799 (or 75781 counting only the distinct ones).

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

Adding to 220020212000 its reverse (212020022), we get a palindrome (220232232022).

The spelling of 220020212000 in words is "two hundred twenty billion, twenty million, two hundred twelve thousand".