112278226680 has 256 divisors, whose sum is σ = 394559078400. Its totient is φ = 28358138880.

The previous prime is 112278226661. The next prime is 112278226703. The reversal of 112278226680 is 86622872211.

112278226680 is a `hidden beast` number, since 11 + 227 + 82 + 266 + 80 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1537884 + ... + 1609236.

It is an arithmetic number, because the mean of its divisors is an integer number (1541246400).

Almost surely, 2^112278226680 is an apocalyptic number.

112278226680 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 112278226680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (197279539200).

112278226680 is an abundant number, since it is smaller than the sum of its proper divisors (282280851720).

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

112278226680 is a wasteful number, since it uses less digits than its factorization.

112278226680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 71451 (or 71441 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 45.

The spelling of 112278226680 in words is "one hundred twelve billion, two hundred seventy-eight million, two hundred twenty-six thousand, six hundred eighty".