112168805112 has 288 divisors, whose sum is σ = 392854250880. Its totient is φ = 28628328960.

The previous prime is 112168805101. The next prime is 112168805123. The reversal of 112168805112 is 211508861211.

112168805112 is a `hidden beast` number, since 1 + 1 + 2 + 1 + 68 + 80 + 511 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (112168805101) and next prime (112168805123).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1382338 + ... + 1461230.

It is an arithmetic number, because the mean of its divisors is an integer number (1364077260).

Almost surely, 2^112168805112 is an apocalyptic number.

112168805112 is a gapful number since it is divisible by the number (12) 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 112168805112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (196427125440).

112168805112 is an abundant number, since it is smaller than the sum of its proper divisors (280685445768).

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

112168805112 is a wasteful number, since it uses less digits than its factorization.

112168805112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 78963 (or 78949 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 36.

The spelling of 112168805112 in words is "one hundred twelve billion, one hundred sixty-eight million, eight hundred five thousand, one hundred twelve".