12531000 has 64 divisors (see below), whose sum is σ = 39106080. Its totient is φ = 3340800.

The previous prime is 12530993. The next prime is 12531007. The reversal of 12531000 is 13521.

It is an interprime number because it is at equal distance from previous prime (12530993) and next prime (12531007).

It is a super-2 number, since 2×12531000² = 314051922000000, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12531007) 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, 912 + ... + 5088.

Almost surely, 2^12531000 is an apocalyptic number.

12531000 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 12531000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19553040).

12531000 is an abundant number, since it is smaller than the sum of its proper divisors (26575080).

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

12531000 is a wasteful number, since it uses less digits than its factorization.

12531000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4201 (or 4187 counting only the distinct ones).

The product of its (nonzero) digits is 30, while the sum is 12.

The square root of 12531000 is about 3539.9152532229. The cubic root of 12531000 is about 232.2711356393.

Adding to 12531000 its reverse (13521), we get a palindrome (12544521).

It can be divided in two parts, 125 and 31000, that added together give a triangular number (31125 = T₂₄₉).

The spelling of 12531000 in words is "twelve million, five hundred thirty-one thousand".