112640112 has 160 divisors (see below), whose sum is σ = 359976960. Its totient is φ = 33488640.

The previous prime is 112640107. The next prime is 112640117. The reversal of 112640112 is 211046211.

112640112 is a `hidden beast` number, since 1 + 12 + 640 + 1 + 12 = 666.

It is an interprime number because it is at equal distance from previous prime (112640107) and next prime (112640117).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112640117) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 173773 + ... + 174419.

It is an arithmetic number, because the mean of its divisors is an integer number (2249856).

Almost surely, 2^112640112 is an apocalyptic number.

112640112 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 112640112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179988480).

112640112 is an abundant number, since it is smaller than the sum of its proper divisors (247336848).

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

112640112 is a wasteful number, since it uses less digits than its factorization.

112640112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 708 (or 696 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

The square root of 112640112 is about 10613.2046055845. The cubic root of 112640112 is about 482.9450190107.

Adding to 112640112 its reverse (211046211), we get a palindrome (323686323).

The spelling of 112640112 in words is "one hundred twelve million, six hundred forty thousand, one hundred twelve".