20112 has 20 divisors (see below), whose sum is σ = 52080. Its totient is φ = 6688.

The previous prime is 20107. The next prime is 20113. The reversal of 20112 is 21102.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (6).

It is a self number, because there is not a number n which added to its sum of digits gives 20112.

It is not an unprimeable number, because it can be changed into a prime (20113) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 162 + ... + 257.

It is an arithmetic number, because the mean of its divisors is an integer number (2604).

2²⁰¹¹² is an apocalyptic number.

It is an amenable number.

20112 is an abundant number, since it is smaller than the sum of its proper divisors (31968).

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26040).

20112 is a wasteful number, since it uses less digits than its factorization.

20112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 430 (or 424 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 6.

The square root of 20112 is about 141.8167832099. The cubic root of 20112 is about 27.1947510056.

Adding to 20112 its reverse (21102), we get a palindrome (41214).

Subtracting 20112 from its reverse (21102), we obtain a triangular number (990 = T₄₄).

The spelling of 20112 in words is "twenty thousand, one hundred twelve", and thus it is an iban number.