512112 has 40 divisors (see below), whose sum is σ = 1357056. Its totient is φ = 166336.

The previous prime is 512101. The next prime is 512137. The reversal of 512112 is 211215.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2143 + ... + 2369.

2⁵¹²¹¹² 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 512112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (678528).

512112 is an abundant number, since it is smaller than the sum of its proper divisors (844944).

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

512112 is a wasteful number, since it uses less digits than its factorization.

512112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 285 (or 279 counting only the distinct ones).

The product of its digits is 20, while the sum is 12.

The square root of 512112 is about 715.6200108996. The cubic root of 512112 is about 80.0058329080.

Adding to 512112 its reverse (211215), we get a palindrome (723327).

The spelling of 512112 in words is "five hundred twelve thousand, one hundred twelve".