112122222200120 has 256 divisors, whose sum is σ = 290393111923200. Its totient is φ = 38532685824000.

The previous prime is 112122222200111. The next prime is 112122222200189. The reversal of 112122222200120 is 21002222221211.

It is a super-2 number, since 2×112122222200120² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 112122222200092 and 112122222200101.

It is a congruent number.

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, 8100724400 + ... + 8100738240.

It is an arithmetic number, because the mean of its divisors is an integer number (1134348093450).

Almost surely, 2^{112122222200120} is an apocalyptic number.

112122222200120 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 112122222200120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145196555961600).

112122222200120 is an abundant number, since it is smaller than the sum of its proper divisors (178270889723080).

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

112122222200120 is a wasteful number, since it uses less digits than its factorization.

112122222200120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16150 (or 16146 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 20.

Adding to 112122222200120 its reverse (21002222221211), we get a palindrome (133124444421331).

The spelling of 112122222200120 in words is "one hundred twelve trillion, one hundred twenty-two billion, two hundred twenty-two million, two hundred thousand, one hundred twenty".