12832500 has 120 divisors (see below), whose sum is σ = 39362400. Its totient is φ = 3248000.

The previous prime is 12832493. The next prime is 12832507. The reversal of 12832500 is 523821.

It is an interprime number because it is at equal distance from previous prime (12832493) and next prime (12832507).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12832507) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 217471 + ... + 217529.

It is an arithmetic number, because the mean of its divisors is an integer number (328020).

Almost surely, 2^12832500 is an apocalyptic number.

12832500 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 12832500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19681200).

12832500 is an abundant number, since it is smaller than the sum of its proper divisors (26529900).

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

12832500 is a wasteful number, since it uses less digits than its factorization.

12832500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 115 (or 98 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 21.

The square root of 12832500 is about 3582.2478976196. The cubic root of 12832500 is about 234.1192320992.

The spelling of 12832500 in words is "twelve million, eight hundred thirty-two thousand, five hundred".