112749120 has 168 divisors, whose sum is σ = 423184320. Its totient is φ = 27325440.

The previous prime is 112749113. The next prime is 112749121. The reversal of 112749120 is 21947211.

It is not an unprimeable number, because it can be changed into a prime (112749121) 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 23 ways as a sum of consecutive naturals, for example, 29901 + ... + 33459.

Almost surely, 2^112749120 is an apocalyptic number.

112749120 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 112749120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (211592160).

112749120 is an abundant number, since it is smaller than the sum of its proper divisors (310435200).

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

112749120 is a wasteful number, since it uses less digits than its factorization.

112749120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3593 (or 3580 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 27.

The square root of 112749120 is about 10618.3388531352. The cubic root of 112749120 is about 483.1007595558.

The spelling of 112749120 in words is "one hundred twelve million, seven hundred forty-nine thousand, one hundred twenty".