112187114208 has 768 divisors, whose sum is σ = 381498163200. Its totient is φ = 31823124480.

The previous prime is 112187114203. The next prime is 112187114231. The reversal of 112187114208 is 802411781211.

112187114208 is a `hidden beast` number, since 1 + 1 + 218 + 7 + 11 + 420 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112187114203) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 883363041 + ... + 883363167.

It is an arithmetic number, because the mean of its divisors is an integer number (496742400).

Almost surely, 2^112187114208 is an apocalyptic number.

112187114208 is a gapful number since it is divisible by the number (18) 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 112187114208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (190749081600).

112187114208 is an abundant number, since it is smaller than the sum of its proper divisors (269311048992).

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

112187114208 is a wasteful number, since it uses less digits than its factorization.

112187114208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 292 (or 278 counting only the distinct ones).

The product of its (nonzero) digits is 7168, while the sum is 36.

Adding to 112187114208 its reverse (802411781211), we get a palindrome (914598895419).

The spelling of 112187114208 in words is "one hundred twelve billion, one hundred eighty-seven million, one hundred fourteen thousand, two hundred eight".