22512 has 40 divisors (see below), whose sum is σ = 67456. Its totient is φ = 6336.

The previous prime is 22511. The next prime is 22531. The reversal of 22512 is 21522.

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

It is a zygodrome in base 4.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22511) 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, 303 + ... + 369.

2²²⁵¹² 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 22512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33728).

22512 is an abundant number, since it is smaller than the sum of its proper divisors (44944).

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

22512 is a wasteful number, since it uses less digits than its factorization.

22512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85 (or 79 counting only the distinct ones).

The product of its digits is 40, while the sum is 12.

The square root of 22512 is about 150.0399946681. The cubic root of 22512 is about 28.2360988333.

Subtracting from 22512 its sum of digits (12), we obtain a square (22500 = 150²).

Subtracting from 22512 its reverse (21522), we obtain a triangular number (990 = T₄₄).

The spelling of 22512 in words is "twenty-two thousand, five hundred twelve".