112012041024 has 280 divisors, whose sum is σ = 358148834120. Its totient is φ = 34410479616.

The previous prime is 112012040999. The next prime is 112012041059. The reversal of 112012041024 is 420140210211.

112012041024 is a `hidden beast` number, since 11 + 201 + 20 + 410 + 24 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 59259138624 + 52752902400 = 243432^2 + 229680^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 112012040988 and 112012041006.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 69615132 + ... + 69616740.

It is an arithmetic number, because the mean of its divisors is an integer number (1279102979).

Almost surely, 2^112012041024 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 112012041024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179074417060).

112012041024 is an abundant number, since it is smaller than the sum of its proper divisors (246136793096).

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

112012041024 is a wasteful number, since it uses less digits than its factorization.

112012041024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2679 (or 2660 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 112012041024 its reverse (420140210211), we get a palindrome (532152251235).

The spelling of 112012041024 in words is "one hundred twelve billion, twelve million, forty-one thousand, twenty-four".