122221121220 has 144 divisors (see below), whose sum is σ = 406358971200. Its totient is φ = 29488838400.

The previous prime is 122221121177. The next prime is 122221121233. The reversal of 122221121220 is 22121122221.

It is a happy number.

122221121220 is a `hidden beast` number, since 1 + 222 + 211 + 212 + 20 = 666.

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 = 122221121193 and 122221121202.

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 47 ways as a sum of consecutive naturals, for example, 271506 + ... + 564054.

It is an arithmetic number, because the mean of its divisors is an integer number (2821937300).

Almost surely, 2^122221121220 is an apocalyptic number.

122221121220 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 122221121220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (203179485600).

122221121220 is an abundant number, since it is smaller than the sum of its proper divisors (284137849980).

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

122221121220 is a wasteful number, since it uses less digits than its factorization.

122221121220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 292786 (or 292781 counting only the distinct ones).

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

Adding to 122221121220 its reverse (22121122221), we get a palindrome (144342243441).

The spelling of 122221121220 in words is "one hundred twenty-two billion, two hundred twenty-one million, one hundred twenty-one thousand, two hundred twenty".