112171878000 has 1200 divisors, whose sum is σ = 508046482944. Its totient is φ = 23645260800.

The previous prime is 112171877981. The next prime is 112171878029. The reversal of 112171878000 is 878171211.

It is a tau number, because it is divible by the number of its divisors (1200).

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 (19) of ones.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 103193457 + ... + 103194543.

Almost surely, 2^112171878000 is an apocalyptic number.

112171878000 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 112171878000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (254023241472).

112171878000 is an abundant number, since it is smaller than the sum of its proper divisors (395874604944).

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

112171878000 is a wasteful number, since it uses less digits than its factorization.

112171878000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1149 (or 1117 counting only the distinct ones).

The product of its (nonzero) digits is 6272, while the sum is 36.

The spelling of 112171878000 in words is "one hundred twelve billion, one hundred seventy-one million, eight hundred seventy-eight thousand".