12570 has 16 divisors (see below), whose sum is σ = 30240. Its totient is φ = 3344.

The previous prime is 12569. The next prime is 12577. The reversal of 12570 is 7521.

It is a happy number.

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

It is an Ulam number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12577) 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, 180 + ... + 239.

It is an arithmetic number, because the mean of its divisors is an integer number (1890).

2¹²⁵⁷⁰ is an apocalyptic number.

12570 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

12570 is an abundant number, since it is smaller than the sum of its proper divisors (17670).

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 (15120).

12570 is a wasteful number, since it uses less digits than its factorization.

12570 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 429.

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

The square root of 12570 is about 112.1160113454. The cubic root of 12570 is about 23.2511850477.

12570 divided by its sum of digits (15) gives a palindrome (838).

The spelling of 12570 in words is "twelve thousand, five hundred seventy".