220121122122 has 96 divisors (see below), whose sum is σ = 528353280000. Its totient is φ = 65673897120.

The previous prime is 220121122093. The next prime is 220121122147. The reversal of 220121122122 is 221221121022.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 220121122095 and 220121122104.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5595879 + ... + 5635077.

It is an arithmetic number, because the mean of its divisors is an integer number (5503680000).

Almost surely, 2^220121122122 is an apocalyptic number.

220121122122 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 220121122122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (264176640000).

220121122122 is an abundant number, since it is smaller than the sum of its proper divisors (308232157878).

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

220121122122 is a wasteful number, since it uses less digits than its factorization.

220121122122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39656 (or 39653 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 220121122122 its reverse (221221121022), we get a palindrome (441342243144).

It can be divided in two parts, 220121 and 122122, that added together give a palindrome (342243).

The spelling of 220121122122 in words is "two hundred twenty billion, one hundred twenty-one million, one hundred twenty-two thousand, one hundred twenty-two".