50112 has 56 divisors (see below), whose sum is σ = 152400. Its totient is φ = 16128.

The previous prime is 50111. The next prime is 50119. The reversal of 50112 is 21105.

50112 = T₃ + T₄ + ... + T₆₆.

It is a happy number.

It is a super-2 number, since 2×50112² = 5022425088, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a zygodrome in base 2.

It is a junction number, because it is equal to n+sod(n) for n = 50094 and 50103.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (50111) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1714 + ... + 1742.

2⁵⁰¹¹² 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 50112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76200).

50112 is an abundant number, since it is smaller than the sum of its proper divisors (102288).

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

50112 is a wasteful number, since it uses less digits than its factorization.

50112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 50 (or 34 counting only the distinct ones).

The product of its (nonzero) digits is 10, while the sum is 9.

The square root of 50112 is about 223.8570972741. The cubic root of 50112 is about 36.8678019082.

Adding to 50112 its reverse (21105), we get a palindrome (71217).

The spelling of 50112 in words is "fifty thousand, one hundred twelve".