112292124 has 72 divisors (see below), whose sum is σ = 306221328. Its totient is φ = 31933440.

The previous prime is 112292093. The next prime is 112292143. The reversal of 112292124 is 421292211.

It is a super-2 number, since 2×112292124² = 25219042224862752, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 112292094 and 112292103.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 207294 + ... + 207834.

It is an arithmetic number, because the mean of its divisors is an integer number (4253074).

Almost surely, 2^112292124 is an apocalyptic number.

112292124 is a gapful number since it is divisible by the number (14) 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 112292124, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153110664).

112292124 is an abundant number, since it is smaller than the sum of its proper divisors (193929204).

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

112292124 is a wasteful number, since it uses less digits than its factorization.

112292124 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 915 (or 906 counting only the distinct ones).

The product of its digits is 576, while the sum is 24.

The square root of 112292124 is about 10596.7978182090. The cubic root of 112292124 is about 482.4471725746.

The spelling of 112292124 in words is "one hundred twelve million, two hundred ninety-two thousand, one hundred twenty-four".