12982500 has 90 divisors (see below), whose sum is σ = 41079038. Its totient is φ = 3456000.

The previous prime is 12982477. The next prime is 12982507. The reversal of 12982500 is 528921.

It can be written as a sum of positive squares in 5 ways, for example, as 1327104 + 11655396 = 1152^2 + 3414^2 .

It is a tau number, because it is divible by the number of its divisors (90).

It is not an unprimeable number, because it can be changed into a prime (12982507) by changing a digit.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 22212 + ... + 22788.

Almost surely, 2^12982500 is an apocalyptic number.

12982500 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 12982500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20539519).

12982500 is an abundant number, since it is smaller than the sum of its proper divisors (28096538).

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

12982500 is a wasteful number, since it uses less digits than its factorization.

12982500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 607 (or 587 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 27.

The square root of 12982500 is about 3603.1236448393. The cubic root of 12982500 is about 235.0279127852.

The spelling of 12982500 in words is "twelve million, nine hundred eighty-two thousand, five hundred".