12500 has 18 divisors (see below), whose sum is σ = 27342. Its totient is φ = 5000.

The previous prime is 12497. The next prime is 12503. The reversal of 12500 is 521.

Multipling 12500 by its product of nonzero digits (10), we get a cube (125000 = 50^{3}).

It can be divided in two parts, 12 and 500, that added together give a 9-th power (512 = 2^{9}).

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It is an interprime number because it is at equal distance from previous prime (12497) and next prime (12503).

It can be written as a sum of positive squares in 3 ways, for example, as 5776 + 6724 = 76^2 + 82^2 .

It is a plaindrome in base 14.

It is a nialpdrome in base 5.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12503) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 2498 + ... + 2502.

It is an arithmetic number, because the mean of its divisors is an integer number (1519).

2^{12500} is an apocalyptic number.

12500 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 12500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13671).

12500 is an abundant number, since it is smaller than the sum of its proper divisors (14842).

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

12500 is an frugal number, since it uses more digits than its factorization.

12500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29 (or 7 counting only the distinct ones).

The product of its (nonzero) digits is 10, while the sum is 8.

The square root of 12500 is about 111.8033988750. The cubic root of 12500 is about 23.2079441681.

The spelling of 12500 in words is "twelve thousand, five hundred".

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