112141440 has 96 divisors (see below), whose sum is σ = 387258300. Its totient is φ = 29902848.

The previous prime is 112141433. The next prime is 112141453. The reversal of 112141440 is 44141211.

112141440 is a `hidden beast` number, since 11 + 214 + 1 + 440 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 109998144 + 2143296 = 10488^2 + 1464^2 .

It is a tau number, because it is divible by the number of its divisors (96).

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

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 3975 + ... + 15494.

Almost surely, 2^112141440 is an apocalyptic number.

112141440 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 112141440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (193629150).

112141440 is an abundant number, since it is smaller than the sum of its proper divisors (275116860).

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

112141440 is a wasteful number, since it uses less digits than its factorization.

112141440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19494 (or 19479 counting only the distinct ones).

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

The square root of 112141440 is about 10589.6855477394. The cubic root of 112141440 is about 482.2312785040.

Adding to 112141440 its reverse (44141211), we get a palindrome (156282651).

The spelling of 112141440 in words is "one hundred twelve million, one hundred forty-one thousand, four hundred forty".