120122112 has 144 divisors (see below), whose sum is σ = 356146560. Its totient is φ = 35635200.

The previous prime is 120122111. The next prime is 120122203. The reversal of 120122112 is 211221021.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is not an unprimeable number, because it can be changed into a prime (120122111) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 498312 + ... + 498552.

It is an arithmetic number, because the mean of its divisors is an integer number (2473240).

Almost surely, 2^120122112 is an apocalyptic number.

120122112 is a gapful number since it is divisible by the number (12) 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 120122112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178073280).

120122112 is an abundant number, since it is smaller than the sum of its proper divisors (236024448).

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

120122112 is a wasteful number, since it uses less digits than its factorization.

120122112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 330 (or 316 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

The square root of 120122112 is about 10960.0233576393. The cubic root of 120122112 is about 493.4096659745.

Adding to 120122112 its reverse (211221021), we get a palindrome (331343133).

The spelling of 120122112 in words is "one hundred twenty million, one hundred twenty-two thousand, one hundred twelve".