112005312 has 56 divisors (see below), whose sum is σ = 298094400. Its totient is φ = 37115136.

The previous prime is 112005281. The next prime is 112005329. The reversal of 112005312 is 213500211.

It is a junction number, because it is equal to n+sod(n) for n = 112005291 and 112005300.

It is a congruent number.

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, 32739 + ... + 35997.

Almost surely, 2^112005312 is an apocalyptic number.

112005312 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 112005312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149047200).

112005312 is an abundant number, since it is smaller than the sum of its proper divisors (186089088).

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

112005312 is a wasteful number, since it uses less digits than its factorization.

112005312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3453 (or 3443 counting only the distinct ones).

The product of its (nonzero) digits is 60, while the sum is 15.

The square root of 112005312 is about 10583.2562096927. The cubic root of 112005312 is about 482.0360733549.

Adding to 112005312 its reverse (213500211), we get a palindrome (325505523).

The spelling of 112005312 in words is "one hundred twelve million, five thousand, three hundred twelve".