120222001111122 has 96 divisors (see below), whose sum is σ = 262483268858928. Its totient is φ = 39766873079808.

The previous prime is 120222001111111. The next prime is 120222001111127. The reversal of 120222001111122 is 221111100222021.

It can be written as a sum of positive squares in 8 ways, for example, as 105465731661801 + 14756269449321 = 10269651^2 + 3841389^2 .

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 = 120222001111095 and 120222001111104.

It is not an unprimeable number, because it can be changed into a prime (120222001111127) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 11180316498 + ... + 11180327250.

Almost surely, 2^{120222001111122} is an apocalyptic number.

120222001111122 is an abundant number, since it is smaller than the sum of its proper divisors (142261267747806).

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

120222001111122 is a wasteful number, since it uses less digits than its factorization.

120222001111122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17404 (or 17401 counting only the distinct ones).

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

Adding to 120222001111122 its reverse (221111100222021), we get a palindrome (341333101333143).

The spelling of 120222001111122 in words is "one hundred twenty trillion, two hundred twenty-two billion, one million, one hundred eleven thousand, one hundred twenty-two".