112209504 has 96 divisors (see below), whose sum is σ = 326954880. Its totient is φ = 33408000.

The previous prime is 112209499. The next prime is 112209511. The reversal of 112209504 is 405902211.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 61404 + ... + 63204.

It is an arithmetic number, because the mean of its divisors is an integer number (3405780).

Almost surely, 2^112209504 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 112209504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163477440).

112209504 is an abundant number, since it is smaller than the sum of its proper divisors (214745376).

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

112209504 is a wasteful number, since it uses less digits than its factorization.

112209504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1884 (or 1876 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 24.

The square root of 112209504 is about 10592.8987534102. The cubic root of 112209504 is about 482.3288218428.

The spelling of 112209504 in words is "one hundred twelve million, two hundred nine thousand, five hundred four".