112140124240 has 80 divisors (see below), whose sum is σ = 263275055568. Its totient is φ = 44418203648.

The previous prime is 112140124237. The next prime is 112140124247. The reversal of 112140124240 is 42421041211.

It can be written as a sum of positive squares in 8 ways, for example, as 14601338896 + 97538785344 = 120836^2 + 312312^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112140124247) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10996584 + ... + 11006776.

Almost surely, 2^112140124240 is an apocalyptic number.

112140124240 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 112140124240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131637527784).

112140124240 is an abundant number, since it is smaller than the sum of its proper divisors (151134931328).

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

112140124240 is a wasteful number, since it uses less digits than its factorization.

112140124240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11536 (or 11530 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 22.

Adding to 112140124240 its reverse (42421041211), we get a palindrome (154561165451).

The spelling of 112140124240 in words is "one hundred twelve billion, one hundred forty million, one hundred twenty-four thousand, two hundred forty".