112142241024 has 144 divisors (see below), whose sum is σ = 326649383424. Its totient is φ = 33872435200.

The previous prime is 112142241011. The next prime is 112142241083. The reversal of 112142241024 is 420142241211.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 112142240985 and 112142241003.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2605987 + ... + 2648669.

It is an arithmetic number, because the mean of its divisors is an integer number (2268398496).

Almost surely, 2^112142241024 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 112142241024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163324691712).

112142241024 is an abundant number, since it is smaller than the sum of its proper divisors (214507142400).

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

112142241024 is a wasteful number, since it uses less digits than its factorization.

112142241024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 43024 (or 43010 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 24.

Adding to 112142241024 its reverse (420142241211), we get a palindrome (532284482235).

The spelling of 112142241024 in words is "one hundred twelve billion, one hundred forty-two million, two hundred forty-one thousand, twenty-four".