12960500 has 108 divisors (see below), whose sum is σ = 34420932. Its totient is φ = 4250400.

The previous prime is 12960491. The next prime is 12960509. The reversal of 12960500 is 506921.

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.

12960500 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (12960491) and next prime (12960509).

It can be written as a sum of positive squares in 2 ways, for example, as 414736 + 12545764 = 644^2 + 3542^2 .

It is a Harshad number since it is a multiple of its sum of digits (23).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12960509) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 563489 + ... + 563511.

Almost surely, 2^12960500 is an apocalyptic number.

12960500 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 12960500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17210466).

12960500 is an abundant number, since it is smaller than the sum of its proper divisors (21460432).

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

12960500 is a wasteful number, since it uses less digits than its factorization.

12960500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 79 (or 37 counting only the distinct ones).

The product of its (nonzero) digits is 540, while the sum is 23.

The square root of 12960500 is about 3600.0694437747. The cubic root of 12960500 is about 234.8950791625.

The spelling of 12960500 in words is "twelve million, nine hundred sixty thousand, five hundred".