220122122220020 has 12 divisors (see below), whose sum is σ = 462256456662084. Its totient is φ = 88048848888000.

The previous prime is 220122122219981. The next prime is 220122122220041. The reversal of 220122122220020 is 20022221221022.

It can be written as a sum of positive squares in 2 ways, for example, as 102412902245476 + 117709219974544 = 10119926^2 + 10849388^2 .

It is a super-2 number, since 2×220122122220020² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20), and also a Moran number because the ratio is a prime number: 11006106111001 = 220122122220020 / (2 + 2 + 0 + 1 + 2 + 2 + 1 + 2 + 2 + 2 + 2 + 0 + 0 + 2 + 0).

It is a junction number, because it is equal to n+sod(n) for n = 220122122219974 and 220122122220001.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 5503053055481 + ... + 5503053055520.

It is an arithmetic number, because the mean of its divisors is an integer number (38521371388507).

Almost surely, 2^{220122122220020} is an apocalyptic number.

220122122220020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

220122122220020 is an abundant number, since it is smaller than the sum of its proper divisors (242134334442064).

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

220122122220020 is a wasteful number, since it uses less digits than its factorization.

220122122220020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11006106111010 (or 11006106111008 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 20.

Adding to 220122122220020 its reverse (20022221221022), we get a palindrome (240144343441042).

The spelling of 220122122220020 in words is "two hundred twenty trillion, one hundred twenty-two billion, one hundred twenty-two million, two hundred twenty thousand, twenty".