112005120 has 104 divisors (see below), whose sum is σ = 358569216. Its totient is φ = 29851648.

The previous prime is 112005119. The next prime is 112005149. The reversal of 112005120 is 21500211.

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

It is a nialpdrome in base 8.

It is a junction number, because it is equal to n+sod(n) for n = 112005096 and 112005105.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 60529 + ... + 62351.

Almost surely, 2^112005120 is an apocalyptic number.

112005120 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 112005120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179284608).

112005120 is an abundant number, since it is smaller than the sum of its proper divisors (246564096).

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

112005120 is an equidigital number, since it uses as much as digits as its factorization.

112005120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1855 (or 1833 counting only the distinct ones).

The product of its (nonzero) digits is 20, while the sum is 12.

The square root of 112005120 is about 10583.2471387566. The cubic root of 112005120 is about 482.0357979186.

Adding to 112005120 its reverse (21500211), we get a palindrome (133505331).

The spelling of 112005120 in words is "one hundred twelve million, five thousand, one hundred twenty".