220122212122220 has 192 divisors, whose sum is σ = 489953213890560. Its totient is φ = 82839891686400.

The previous prime is 220122212122217. The next prime is 220122212122223. The reversal of 220122212122220 is 22221212221022.

It is an interprime number because it is at equal distance from previous prime (220122212122217) and next prime (220122212122223).

It is not an unprimeable number, because it can be changed into a prime (220122212122223) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 91299132815 + ... + 91299135225.

It is an arithmetic number, because the mean of its divisors is an integer number (2551839655680).

Almost surely, 2^{220122212122220} is an apocalyptic number.

220122212122220 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 220122212122220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (244976606945280).

220122212122220 is an abundant number, since it is smaller than the sum of its proper divisors (269831001768340).

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

220122212122220 is a wasteful number, since it uses less digits than its factorization.

220122212122220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5256 (or 5254 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 23.

Adding to 220122212122220 its reverse (22221212221022), we get a palindrome (242343424343242).

The spelling of 220122212122220 in words is "two hundred twenty trillion, one hundred twenty-two billion, two hundred twelve million, one hundred twenty-two thousand, two hundred twenty".