112429944 has 80 divisors (see below), whose sum is σ = 343557720. Its totient is φ = 34067520.

The previous prime is 112429943. The next prime is 112429949. The reversal of 112429944 is 449924211.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 112429899 and 112429908.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112429943) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 759 + ... + 15014.

Almost surely, 2^112429944 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 112429944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171778860).

112429944 is an abundant number, since it is smaller than the sum of its proper divisors (231127776).

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

112429944 is a wasteful number, since it uses less digits than its factorization.

112429944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15802 (or 15789 counting only the distinct ones).

The product of its digits is 20736, while the sum is 36.

The square root of 112429944 is about 10603.2987319985. The cubic root of 112429944 is about 482.6444665708.

The spelling of 112429944 in words is "one hundred twelve million, four hundred twenty-nine thousand, nine hundred forty-four".