12220122212120 has 128 divisors (see below), whose sum is σ = 29238279436800. Its totient is φ = 4580705581056.

The previous prime is 12220122212117. The next prime is 12220122212201. The reversal of 12220122212120 is 2121222102221.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 12220122212092 and 12220122212101.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 148972157 + ... + 149054163.

It is an arithmetic number, because the mean of its divisors is an integer number (228424058100).

Almost surely, 2^{12220122212120} is an apocalyptic number.

12220122212120 is a gapful number since it is divisible by the number (10) 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 12220122212120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14619139718400).

12220122212120 is an abundant number, since it is smaller than the sum of its proper divisors (17018157224680).

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

12220122212120 is a wasteful number, since it uses less digits than its factorization.

12220122212120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 82977 (or 82973 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 20.

Adding to 12220122212120 its reverse (2121222102221), we get a palindrome (14341344314341).

The spelling of 12220122212120 in words is "twelve trillion, two hundred twenty billion, one hundred twenty-two million, two hundred twelve thousand, one hundred twenty".