220122220021000 has 768 divisors, whose sum is σ = 584161946746560. Its totient is φ = 77552640000000.

The previous prime is 220122220020971. The next prime is 220122220021007. The reversal of 220122220021000 is 120022221022.

It can be written as a sum of positive squares in 32 ways, for example, as 40451304497956 + 179670915523044 = 6360134^2 + 13404138^2 .

It is a super-3 number, since 3×220122220021000³ (a number of 44 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (220122220021007) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 122222220100 + ... + 122222221900.

Almost surely, 2^{220122220021000} is an apocalyptic number.

220122220021000 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 220122220021000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (292080973373280).

220122220021000 is an abundant number, since it is smaller than the sum of its proper divisors (364039726725560).

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

220122220021000 is a wasteful number, since it uses less digits than its factorization.

220122220021000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2155 (or 2130 counting only the distinct ones).

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

Adding to 220122220021000 its reverse (120022221022), we get a palindrome (220242242242022).

It can be divided in two parts, 2201222 and 20021000, that added together give a palindrome (22222222).

The spelling of 220122220021000 in words is "two hundred twenty trillion, one hundred twenty-two billion, two hundred twenty million, twenty-one thousand".