112406980 has 72 divisors (see below), whose sum is σ = 286590528. Its totient is φ = 36856512.

The previous prime is 112406947. The next prime is 112407007. The reversal of 112406980 is 89604211.

It is a happy number.

It is an unprimeable number.

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, 20047 + ... + 25033.

It is an arithmetic number, because the mean of its divisors is an integer number (3980424).

Almost surely, 2^112406980 is an apocalyptic number.

112406980 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 112406980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143295264).

112406980 is an abundant number, since it is smaller than the sum of its proper divisors (174183548).

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

112406980 is a wasteful number, since it uses less digits than its factorization.

112406980 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5033 (or 5024 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 31.

The square root of 112406980 is about 10602.2158061417. The cubic root of 112406980 is about 482.6116040260.

The spelling of 112406980 in words is "one hundred twelve million, four hundred six thousand, nine hundred eighty".