112087809288000 has 3584 divisors, whose sum is σ = 534410472960000. Its totient is φ = 22828113100800.

The previous prime is 112087809287989. The next prime is 112087809288023. The reversal of 112087809288000 is 882908780211.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 511 ways as a sum of consecutive naturals, for example, 27931173994 + ... + 27931178006.

It is an arithmetic number, because the mean of its divisors is an integer number (149110065000).

Almost surely, 2^{112087809288000} is an apocalyptic number.

112087809288000 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 112087809288000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (267205236480000).

112087809288000 is an abundant number, since it is smaller than the sum of its proper divisors (422322663672000).

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

112087809288000 is a wasteful number, since it uses less digits than its factorization.

112087809288000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4112 (or 4072 counting only the distinct ones).

The product of its (nonzero) digits is 1032192, while the sum is 54.

The spelling of 112087809288000 in words is "one hundred twelve trillion, eighty-seven billion, eight hundred nine million, two hundred eighty-eight thousand".