220122101120 has 128 divisors (see below), whose sum is σ = 555959894400. Its totient is φ = 83203563520.

The previous prime is 220122101119. The next prime is 220122101131. The reversal of 220122101120 is 21101221022.

It is a tau number, because it is divible by the number of its divisors (128).

It is a junction number, because it is equal to n+sod(n) for n = 220122101095 and 220122101104.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 746150 + ... + 998490.

It is an arithmetic number, because the mean of its divisors is an integer number (4343436675).

Almost surely, 2^220122101120 is an apocalyptic number.

220122101120 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 220122101120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (277979947200).

220122101120 is an abundant number, since it is smaller than the sum of its proper divisors (335837793280).

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

220122101120 is a wasteful number, since it uses less digits than its factorization.

220122101120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 252436 (or 252424 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 220122101120 its reverse (21101221022), we get a palindrome (241223322142).

The spelling of 220122101120 in words is "two hundred twenty billion, one hundred twenty-two million, one hundred one thousand, one hundred twenty".