112429296 has 220 divisors, whose sum is σ = 395389872. Its totient is φ = 30233088.

The previous prime is 112429277. The next prime is 112429297. The reversal of 112429296 is 692924211.

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 self number, because there is not a number n which added to its sum of digits gives 112429296.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112429297) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 43 ways as a sum of consecutive naturals, for example, 6613480 + ... + 6613496.

Almost surely, 2^112429296 is an apocalyptic number.

112429296 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 112429296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (197694936).

112429296 is an abundant number, since it is smaller than the sum of its proper divisors (282960576).

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

112429296 is an frugal number, since it uses more digits than its factorization.

112429296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 62 (or 29 counting only the distinct ones).

The product of its digits is 15552, while the sum is 36.

The square root of 112429296 is about 10603.2681754259. The cubic root of 112429296 is about 482.6435393142.

The spelling of 112429296 in words is "one hundred twelve million, four hundred twenty-nine thousand, two hundred ninety-six".