220122122121220 has 192 divisors, whose sum is σ = 523989142871040. Its totient is φ = 76940776640000.

The previous prime is 220122122121067. The next prime is 220122122121221. The reversal of 220122122121220 is 22121221221022.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 220122122121191 and 220122122121200.

It is not an unprimeable number, because it can be changed into a prime (220122122121221) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3591864699 + ... + 3591925981.

It is an arithmetic number, because the mean of its divisors is an integer number (2729110119120).

Almost surely, 2^{220122122121220} is an apocalyptic number.

220122122121220 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 220122122121220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (261994571435520).

220122122121220 is an abundant number, since it is smaller than the sum of its proper divisors (303867020749820).

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

220122122121220 is a wasteful number, since it uses less digits than its factorization.

220122122121220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 63826 (or 63824 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 22.

Adding to 220122122121220 its reverse (22121221221022), we get a palindrome (242243343342242).

The spelling of 220122122121220 in words is "two hundred twenty trillion, one hundred twenty-two billion, one hundred twenty-two million, one hundred twenty-one thousand, two hundred twenty".