220122101011120 has 160 divisors (see below), whose sum is σ = 638336021022720. Its totient is φ = 68580690232320.

The previous prime is 220122101011093. The next prime is 220122101011159. The reversal of 220122101011120 is 21110101221022.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 220122101011094 and 220122101011103.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7181566 + ... + 22176994.

It is an arithmetic number, because the mean of its divisors is an integer number (3989600131392).

Almost surely, 2^{220122101011120} is an apocalyptic number.

220122101011120 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 220122101011120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (319168010511360).

220122101011120 is an abundant number, since it is smaller than the sum of its proper divisors (418213920011600).

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

220122101011120 is a wasteful number, since it uses less digits than its factorization.

220122101011120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14997843 (or 14997837 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 220122101011120 its reverse (21110101221022), we get a palindrome (241232202232142).

The spelling of 220122101011120 in words is "two hundred twenty trillion, one hundred twenty-two billion, one hundred one million, eleven thousand, one hundred twenty".