220020011221000 has 128 divisors (see below), whose sum is σ = 526841431459200. Its totient is φ = 85957811116800.

The previous prime is 220020011220991. The next prime is 220020011221007. The reversal of 220020011221000 is 122110020022.

It is a happy number.

It is a super-3 number, since 3×220020011221000³ (a number of 44 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (220020011221007) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1225109211 + ... + 1225288789.

It is an arithmetic number, because the mean of its divisors is an integer number (4115948683275).

Almost surely, 2^{220020011221000} is an apocalyptic number.

220020011221000 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 220020011221000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (263420715729600).

220020011221000 is an abundant number, since it is smaller than the sum of its proper divisors (306821420238200).

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

220020011221000 is a wasteful number, since it uses less digits than its factorization.

220020011221000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 208136 (or 208122 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

Adding to 220020011221000 its reverse (122110020022), we get a palindrome (220142121241022).

The spelling of 220020011221000 in words is "two hundred twenty trillion, twenty billion, eleven million, two hundred twenty-one thousand".