112443413033120 has 192 divisors, whose sum is σ = 290177401764096. Its totient is φ = 40923489116160.

The previous prime is 112443413033057. The next prime is 112443413033179. The reversal of 112443413033120 is 21330314344211.

It is a super-2 number, since 2×112443413033120² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 665509292 + ... + 665678228.

It is an arithmetic number, because the mean of its divisors is an integer number (1511340634188).

Almost surely, 2^{112443413033120} is an apocalyptic number.

112443413033120 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 112443413033120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145088700882048).

112443413033120 is an abundant number, since it is smaller than the sum of its proper divisors (177733988730976).

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

112443413033120 is a wasteful number, since it uses less digits than its factorization.

112443413033120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 173543 (or 173535 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 32.

Adding to 112443413033120 its reverse (21330314344211), we get a palindrome (133773727377331).

The spelling of 112443413033120 in words is "one hundred twelve trillion, four hundred forty-three billion, four hundred thirteen million, thirty-three thousand, one hundred twenty".