12540 has 48 divisors (see below), whose sum is σ = 40320. Its totient is φ = 2880.

The previous prime is 12539. The next prime is 12541. The reversal of 12540 is 4521.

12540 = T₄₅ + T₄₆ + ... + T₅₄.

It is an interprime number because it is at equal distance from previous prime (12539) and next prime (12541).

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

It is a nialpdrome in base 12.

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12541) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 651 + ... + 669.

It is an arithmetic number, because the mean of its divisors is an integer number (840).

2¹²⁵⁴⁰ is an apocalyptic number.

12540 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20160).

12540 is an abundant number, since it is smaller than the sum of its proper divisors (27780).

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

12540 is a wasteful number, since it uses less digits than its factorization.

12540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42 (or 40 counting only the distinct ones).

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

The square root of 12540 is about 111.9821414334. The cubic root of 12540 is about 23.2326729499.

The spelling of 12540 in words is "twelve thousand, five hundred forty".