112824317581920 has 1536 divisors, whose sum is σ = 468998235095040. Its totient is φ = 24798704394240.

The previous prime is 112824317581901. The next prime is 112824317582017. The reversal of 112824317581920 is 29185713428211.

112824317581920 is a `hidden beast` number, since 1 + 1 + 2 + 8 + 2 + 4 + 31 + 7 + 581 + 9 + 20 = 666.

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 polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 31988747197 + ... + 31988750723.

It is an arithmetic number, because the mean of its divisors is an integer number (305337392640).

Almost surely, 2^{112824317581920} is an apocalyptic number.

112824317581920 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 112824317581920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (234499117547520).

112824317581920 is an abundant number, since it is smaller than the sum of its proper divisors (356173917513120).

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

112824317581920 is a wasteful number, since it uses less digits than its factorization.

112824317581920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3993 (or 3979 counting only the distinct ones).

The product of its (nonzero) digits is 1935360, while the sum is 54.

The spelling of 112824317581920 in words is "one hundred twelve trillion, eight hundred twenty-four billion, three hundred seventeen million, five hundred eighty-one thousand, nine hundred twenty".