112128120 has 288 divisors, whose sum is σ = 419655600. Its totient is φ = 25878528.

The previous prime is 112128113. The next prime is 112128127. The reversal of 112128120 is 21821211.

It is an interprime number because it is at equal distance from previous prime (112128113) and next prime (112128127).

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 = 112128093 and 112128102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112128127) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1155912 + ... + 1156008.

Almost surely, 2^112128120 is an apocalyptic number.

112128120 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 112128120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (209827800).

112128120 is an abundant number, since it is smaller than the sum of its proper divisors (307527480).

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

112128120 is a wasteful number, since it uses less digits than its factorization.

112128120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 159 (or 139 counting only the distinct ones).

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

The square root of 112128120 is about 10589.0566152042. The cubic root of 112128120 is about 482.2121848339.

Adding to 112128120 its reverse (21821211), we get a palindrome (133949331).

It can be divided in two parts, 1121 and 28120, that added together give a square (29241 = 171²).

The spelling of 112128120 in words is "one hundred twelve million, one hundred twenty-eight thousand, one hundred twenty".