120221120011122 has 320 divisors, whose sum is σ = 295025336242560. Its totient is φ = 36369907200000.

The previous prime is 120221120011007. The next prime is 120221120011123. The reversal of 120221120011122 is 221110021122021.

120221120011122 is a `hidden beast` number, since 120 + 2 + 211 + 200 + 11 + 122 = 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 = 120221120011095 and 120221120011104.

It is not an unprimeable number, because it can be changed into a prime (120221120011123) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 18846386529 + ... + 18846392907.

It is an arithmetic number, because the mean of its divisors is an integer number (921954175758).

Almost surely, 2^{120221120011122} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 120221120011122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147512668121280).

120221120011122 is an abundant number, since it is smaller than the sum of its proper divisors (174804216231438).

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

120221120011122 is a wasteful number, since it uses less digits than its factorization.

120221120011122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7111 (or 7102 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 120221120011122 its reverse (221110021122021), we get a palindrome (341331141133143).

The spelling of 120221120011122 in words is "one hundred twenty trillion, two hundred twenty-one billion, one hundred twenty million, eleven thousand, one hundred twenty-two".