112825120 has 144 divisors (see below), whose sum is σ = 294319872. Its totient is φ = 40803840.

The previous prime is 112825093. The next prime is 112825121. The reversal of 112825120 is 21528211.

It is a super-4 number, since 4×112825120⁴ (a number of 33 digits) contains 4444 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 112825091 and 112825100.

It is not an unprimeable number, because it can be changed into a prime (112825121) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2623819 + ... + 2623861.

It is an arithmetic number, because the mean of its divisors is an integer number (2043888).

Almost surely, 2^112825120 is an apocalyptic number.

112825120 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 112825120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147159936).

112825120 is an abundant number, since it is smaller than the sum of its proper divisors (181494752).

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

112825120 is a wasteful number, since it uses less digits than its factorization.

112825120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 135 (or 104 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 22.

The square root of 112825120 is about 10621.9169644655. The cubic root of 112825120 is about 483.2092819438.

The spelling of 112825120 in words is "one hundred twelve million, eight hundred twenty-five thousand, one hundred twenty".