220122220210020 has 72 divisors (see below), whose sum is σ = 672185303407800. Its totient is φ = 58305303959040.

The previous prime is 220122220210001. The next prime is 220122220210027. The reversal of 220122220210020 is 20012022221022.

220122220210020 is a `hidden beast` number, since 220 + 1 + 222 + 202 + 1 + 0 + 0 + 20 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 900616184064 + 219221604025956 = 949008^2 + 14806134^2 .

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 = 220122220209975 and 220122220210002.

It is not an unprimeable number, because it can be changed into a prime (220122220210027) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4103668561 + ... + 4103722200.

It is an arithmetic number, because the mean of its divisors is an integer number (9335906991775).

Almost surely, 2^{220122220210020} is an apocalyptic number.

220122220210020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

220122220210020 is an abundant number, since it is smaller than the sum of its proper divisors (452063083197780).

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

220122220210020 is a wasteful number, since it uses less digits than its factorization.

220122220210020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8207390925 (or 8207390920 counting only the distinct ones).

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

Adding to 220122220210020 its reverse (20012022221022), we get a palindrome (240134242431042).

The spelling of 220122220210020 in words is "two hundred twenty trillion, one hundred twenty-two billion, two hundred twenty million, two hundred ten thousand, twenty".