220200021022122 has 144 divisors (see below), whose sum is σ = 534088871301960. Its totient is φ = 65331407112192.

The previous prime is 220200021022117. The next prime is 220200021022123. The reversal of 220200021022122 is 221220120002022.

220200021022122 is a `hidden beast` number, since 220 + 20 + 0 + 0 + 210 + 2 + 212 + 2 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 165032279627121 + 55167741395001 = 12846489^2 + 7427499^2 .

It is a super-2 number, since 2×220200021022122² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 220200021022095 and 220200021022104.

It is not an unprimeable number, because it can be changed into a prime (220200021022123) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 61103508 + ... + 64606800.

Almost surely, 2^{220200021022122} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 220200021022122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (267044435650980).

220200021022122 is an abundant number, since it is smaller than the sum of its proper divisors (313888850279838).

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

220200021022122 is a wasteful number, since it uses less digits than its factorization.

220200021022122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3503925 (or 3503903 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

Adding to 220200021022122 its reverse (221220120002022), we get a palindrome (441420141024144).

The spelling of 220200021022122 in words is "two hundred twenty trillion, two hundred billion, twenty-one million, twenty-two thousand, one hundred twenty-two".