112123120 has 80 divisors (see below), whose sum is σ = 268018560. Its totient is φ = 43610112.

The previous prime is 112123117. The next prime is 112123127. The reversal of 112123120 is 21321211.

It is a tau number, because it is divible by the number of its divisors (80).

It is a self number, because there is not a number n which added to its sum of digits gives 112123120.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112123127) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 714082 + ... + 714238.

It is an arithmetic number, because the mean of its divisors is an integer number (3350232).

Almost surely, 2^112123120 is an apocalyptic number.

112123120 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 112123120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134009280).

112123120 is an abundant number, since it is smaller than the sum of its proper divisors (155895440).

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

112123120 is a wasteful number, since it uses less digits than its factorization.

112123120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 362 (or 356 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 13.

The square root of 112123120 is about 10588.8205197746. The cubic root of 112123120 is about 482.2050171500.

Adding to 112123120 its reverse (21321211), we get a palindrome (133444331).

The spelling of 112123120 in words is "one hundred twelve million, one hundred twenty-three thousand, one hundred twenty".