112127456 has 96 divisors (see below), whose sum is σ = 267986880. Its totient is φ = 45158400.

The previous prime is 112127453. The next prime is 112127459. The reversal of 112127456 is 654721211.

It is an interprime number because it is at equal distance from previous prime (112127453) and next prime (112127459).

It is a Harshad number since it is a multiple of its sum of digits (29).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112127453) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 266126 + ... + 266546.

It is an arithmetic number, because the mean of its divisors is an integer number (2791530).

Almost surely, 2^112127456 is an apocalyptic number.

112127456 is a gapful number since it is divisible by the number (16) 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 112127456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133993440).

112127456 is an abundant number, since it is smaller than the sum of its proper divisors (155859424).

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

112127456 is a wasteful number, since it uses less digits than its factorization.

112127456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 508 (or 500 counting only the distinct ones).

The product of its digits is 3360, while the sum is 29.

The square root of 112127456 is about 10589.0252620343. The cubic root of 112127456 is about 482.2112329777.

Adding to 112127456 its reverse (654721211), we get a palindrome (766848667).

The spelling of 112127456 in words is "one hundred twelve million, one hundred twenty-seven thousand, four hundred fifty-six".