112117852 has 48 divisors (see below), whose sum is σ = 245613312. Its totient is φ = 43505280.

The previous prime is 112117829. The next prime is 112117871. The reversal of 112117852 is 258711211.

112117852 is digitally balanced in base 9, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (28).

112117852 is strictly pandigital in base 9.

It is a self number, because there is not a number n which added to its sum of digits gives 112117852.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 95823 + ... + 96985.

It is an arithmetic number, because the mean of its divisors is an integer number (5116944).

Almost surely, 2^112117852 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 112117852, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122806656).

112117852 is an abundant number, since it is smaller than the sum of its proper divisors (133495460).

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

112117852 is a wasteful number, since it uses less digits than its factorization.

112117852 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1498 (or 1496 counting only the distinct ones).

The product of its digits is 1120, while the sum is 28.

The square root of 112117852 is about 10588.5717639349. The cubic root of 112117852 is about 482.1974650477.

The spelling of 112117852 in words is "one hundred twelve million, one hundred seventeen thousand, eight hundred fifty-two".