122212121221120 has 144 divisors (see below), whose sum is σ = 341112990975120. Its totient is φ = 41901298532352.

The previous prime is 122212121221063. The next prime is 122212121221123. The reversal of 122212121221120 is 21122121212221.

It is a junction number, because it is equal to n+sod(n) for n = 122212121221091 and 122212121221100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122212121221123) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 121281684 + ... + 122285203.

It is an arithmetic number, because the mean of its divisors is an integer number (2368840215105).

Almost surely, 2^{122212121221120} is an apocalyptic number.

122212121221120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

122212121221120 is an abundant number, since it is smaller than the sum of its proper divisors (218900869754000).

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

122212121221120 is an equidigital number, since it uses as much as digits as its factorization.

122212121221120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 243566928 (or 243566901 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 22.

Adding to 122212121221120 its reverse (21122121212221), we get a palindrome (143334242433341).

The spelling of 122212121221120 in words is "one hundred twenty-two trillion, two hundred twelve billion, one hundred twenty-one million, two hundred twenty-one thousand, one hundred twenty".