112117632 has 192 divisors, whose sum is σ = 347289600. Its totient is φ = 31933440.

The previous prime is 112117619. The next prime is 112117639. The reversal of 112117632 is 236711211.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112117639) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 882753 + ... + 882879.

It is an arithmetic number, because the mean of its divisors is an integer number (1808800).

Almost surely, 2^112117632 is an apocalyptic number.

112117632 is a gapful number since it is divisible by the number (12) 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 112117632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173644800).

112117632 is an abundant number, since it is smaller than the sum of its proper divisors (235171968).

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

112117632 is a wasteful number, since it uses less digits than its factorization.

112117632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 185 (or 162 counting only the distinct ones).

The product of its digits is 504, while the sum is 24.

The square root of 112117632 is about 10588.5613753711. The cubic root of 112117632 is about 482.1971496548.

Adding to 112117632 its reverse (236711211), we get a palindrome (348828843).

The spelling of 112117632 in words is "one hundred twelve million, one hundred seventeen thousand, six hundred thirty-two".