112287427560 has 384 divisors, whose sum is σ = 455440527360. Its totient is φ = 23308992000.

The previous prime is 112287427523. The next prime is 112287427663. The reversal of 112287427560 is 65724782211.

112287427560 is a `hidden beast` number, since 1 + 1 + 2 + 2 + 87 + 4 + 2 + 7 + 560 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 47760385 + ... + 47762735.

It is an arithmetic number, because the mean of its divisors is an integer number (1186043040).

Almost surely, 2^112287427560 is an apocalyptic number.

112287427560 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 112287427560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (227720263680).

112287427560 is an abundant number, since it is smaller than the sum of its proper divisors (343153099800).

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

112287427560 is a wasteful number, since it uses less digits than its factorization.

112287427560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4109 (or 4102 counting only the distinct ones).

The product of its (nonzero) digits is 376320, while the sum is 45.

The spelling of 112287427560 in words is "one hundred twelve billion, two hundred eighty-seven million, four hundred twenty-seven thousand, five hundred sixty".