112132680 has 256 divisors, whose sum is σ = 410572800. Its totient is φ = 24145920.

The previous prime is 112132639. The next prime is 112132687. The reversal of 112132680 is 86231211.

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

It is a self number, because there is not a number n which added to its sum of digits gives 112132680.

It is not an unprimeable number, because it can be changed into a prime (112132687) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 426229 + ... + 426491.

It is an arithmetic number, because the mean of its divisors is an integer number (1603800).

Almost surely, 2^112132680 is an apocalyptic number.

112132680 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 112132680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (205286400).

112132680 is an abundant number, since it is smaller than the sum of its proper divisors (298440120).

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

112132680 is a wasteful number, since it uses less digits than its factorization.

112132680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 324 (or 320 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 24.

The square root of 112132680 is about 10589.2719296465. The cubic root of 112132680 is about 482.2187215758.

Adding to 112132680 its reverse (86231211), we get a palindrome (198363891).

The spelling of 112132680 in words is "one hundred twelve million, one hundred thirty-two thousand, six hundred eighty".