112418280 has 320 divisors, whose sum is σ = 433596240. Its totient is φ = 25878528.

The previous prime is 112418279. The next prime is 112418281. The reversal of 112418280 is 82814211.

It is an interprime number because it is at equal distance from previous prime (112418279) and next prime (112418281).

It can be written as a sum of positive squares in 8 ways, for example, as 31741956 + 80676324 = 5634^2 + 8982^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112418281) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 715962 + ... + 716118.

Almost surely, 2^112418280 is an apocalyptic number.

112418280 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 112418280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (216798120).

112418280 is an abundant number, since it is smaller than the sum of its proper divisors (321177960).

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

112418280 is a wasteful number, since it uses less digits than its factorization.

112418280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 210 (or 197 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 27.

The square root of 112418280 is about 10602.7487002192. The cubic root of 112418280 is about 482.6277754073.

The spelling of 112418280 in words is "one hundred twelve million, four hundred eighteen thousand, two hundred eighty".