12712500 has 108 divisors (see below), whose sum is σ = 40520844. Its totient is φ = 3360000.

The previous prime is 12712499. The next prime is 12712507. The reversal of 12712500 is 521721.

12712500 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 12574116 + 138384 = 3546^2 + 372^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a zygodrome in base 5.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12712507) 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, 112444 + ... + 112556.

It is an arithmetic number, because the mean of its divisors is an integer number (375193).

Almost surely, 2^12712500 is an apocalyptic number.

12712500 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 12712500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20260422).

12712500 is an abundant number, since it is smaller than the sum of its proper divisors (27808344).

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

12712500 is a wasteful number, since it uses less digits than its factorization.

12712500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 148 (or 123 counting only the distinct ones).

The product of its (nonzero) digits is 140, while the sum is 18.

The square root of 12712500 is about 3565.4592972014. The cubic root of 12712500 is about 233.3871757833.

The spelling of 12712500 in words is "twelve million, seven hundred twelve thousand, five hundred".