112125440 has 80 divisors (see below), whose sum is σ = 307292832. Its totient is φ = 38436864.

The previous prime is 112125413. The next prime is 112125443. The reversal of 112125440 is 44521211.

It is a happy number.

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

It is a super-2 number, since 2×112125440² = 25144228590387200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112125443) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 14792 + ... + 21048.

Almost surely, 2^112125440 is an apocalyptic number.

112125440 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 112125440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153646416).

112125440 is an abundant number, since it is smaller than the sum of its proper divisors (195167392).

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

112125440 is an frugal number, since it uses more digits than its factorization.

112125440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6287 (or 6271 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 20.

The square root of 112125440 is about 10588.9300687085. The cubic root of 112125440 is about 482.2083429818.

Adding to 112125440 its reverse (44521211), we get a palindrome (156646651).

The spelling of 112125440 in words is "one hundred twelve million, one hundred twenty-five thousand, four hundred forty".