122001021222120 has 256 divisors, whose sum is σ = 420708470400000. Its totient is φ = 31410615269376.

The previous prime is 122001021222043. The next prime is 122001021222131. The reversal of 122001021222120 is 21222120100221.

It is a happy number.

122001021222120 is a `hidden beast` number, since 1 + 2 + 200 + 10 + 212 + 221 + 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 = 122001021222093 and 122001021222102.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1170344961 + ... + 1170449199.

It is an arithmetic number, because the mean of its divisors is an integer number (1643392462500).

Almost surely, 2^{122001021222120} is an apocalyptic number.

122001021222120 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 122001021222120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (210354235200000).

122001021222120 is an abundant number, since it is smaller than the sum of its proper divisors (298707449177880).

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

122001021222120 is a wasteful number, since it uses less digits than its factorization.

122001021222120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 141657 (or 141647 counting only the distinct ones).

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

Adding to 122001021222120 its reverse (21222120100221), we get a palindrome (143223141322341).

The spelling of 122001021222120 in words is "one hundred twenty-two trillion, one billion, twenty-one million, two hundred twenty-two thousand, one hundred twenty".