502112 has 48 divisors (see below), whose sum is σ = 1143072. Its totient is φ = 215040.

The previous prime is 502093. The next prime is 502121. The reversal of 502112 is 211205.

It is a junction number, because it is equal to n+sod(n) for n = 502093 and 502102.

It is a congruent number.

It is an unprimeable number.

502112 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7037 + ... + 7107.

It is an arithmetic number, because the mean of its divisors is an integer number (23814).

2⁵⁰²¹¹² is an apocalyptic number.

502112 is a gapful number since it is divisible by the number (52) 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 502112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (571536).

502112 is an abundant number, since it is smaller than the sum of its proper divisors (640960).

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

502112 is a wasteful number, since it uses less digits than its factorization.

502112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 111 (or 103 counting only the distinct ones).

The product of its (nonzero) digits is 20, while the sum is 11.

The square root of 502112 is about 708.5986169899. The cubic root of 502112 is about 79.4816486524.

Adding to 502112 its reverse (211205), we get a palindrome (713317).

The spelling of 502112 in words is "five hundred two thousand, one hundred twelve".