12750 has 32 divisors (see below), whose sum is σ = 33696. Its totient is φ = 3200.

The previous prime is 12743. The next prime is 12757. The reversal of 12750 is 5721.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (12743) and next prime (12757).

It is a Harshad number since it is a multiple of its sum of digits (15).

12750 is an undulating number in base 13.

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 (12757) 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, 742 + ... + 758.

It is an arithmetic number, because the mean of its divisors is an integer number (1053).

2¹²⁷⁵⁰ is an apocalyptic number.

12750 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 12750, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16848).

12750 is an abundant number, since it is smaller than the sum of its proper divisors (20946).

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

12750 is a wasteful number, since it uses less digits than its factorization.

12750 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37 (or 27 counting only the distinct ones).

The product of its (nonzero) digits is 70, while the sum is 15.

The square root of 12750 is about 112.9158979064. The cubic root of 12750 is about 23.3616436418.

The spelling of 12750 in words is "twelve thousand, seven hundred fifty".