12630 has 16 divisors (see below), whose sum is σ = 30384. Its totient is φ = 3360.

The previous prime is 12619. The next prime is 12637. The reversal of 12630 is 3621.

12630 is digitally balanced in base 2 and base 6, because in such bases it contains all the possibile digits an equal number of times.

12630 is strictly pandigital in base 6.

It is a Curzon number.

It is a nialpdrome in base 11.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12637) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 181 + ... + 240.

It is an arithmetic number, because the mean of its divisors is an integer number (1899).

2¹²⁶³⁰ is an apocalyptic number.

12630 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

12630 is an abundant number, since it is smaller than the sum of its proper divisors (17754).

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 (15192).

12630 is a wasteful number, since it uses less digits than its factorization.

12630 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 431.

The product of its (nonzero) digits is 36, while the sum is 12.

The square root of 12630 is about 112.3832727767. The cubic root of 12630 is about 23.2881210670.

Subtracting from 12630 its reverse (3621), we obtain a palindrome (9009).

The spelling of 12630 in words is "twelve thousand, six hundred thirty".