122222220121120 has 288 divisors, whose sum is σ = 337912091532288. Its totient is φ = 41653465362432.

The previous prime is 122222220121087. The next prime is 122222220121181. The reversal of 122222220121120 is 21121022222221.

It is a junction number, because it is equal to n+sod(n) for n = 122222220121091 and 122222220121100.

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, 1072227649 + ... + 1072341631.

It is an arithmetic number, because the mean of its divisors is an integer number (1173305873376).

Almost surely, 2^{122222220121120} is an apocalyptic number.

122222220121120 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 122222220121120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168956045766144).

122222220121120 is an abundant number, since it is smaller than the sum of its proper divisors (215689871411168).

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

122222220121120 is a wasteful number, since it uses less digits than its factorization.

122222220121120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 114832 (or 114817 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 22.

Adding to 122222220121120 its reverse (21121022222221), we get a palindrome (143343242343341).

The spelling of 122222220121120 in words is "one hundred twenty-two trillion, two hundred twenty-two billion, two hundred twenty million, one hundred twenty-one thousand, one hundred twenty".