12612500 has 36 divisors (see below), whose sum is σ = 27615420. Its totient is φ = 5040000.

The previous prime is 12612493. The next prime is 12612503. The reversal of 12612500 is 521621.

It can be written as a sum of positive squares in 6 ways, for example, as 11276164 + 1336336 = 3358^2 + 1156^2 .

It is a hoax number, since the sum of its digits (17) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12612503) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 11996 + ... + 13004.

It is an arithmetic number, because the mean of its divisors is an integer number (767095).

Almost surely, 2^12612500 is an apocalyptic number.

12612500 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 12612500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13807710).

12612500 is an abundant number, since it is smaller than the sum of its proper divisors (15002920).

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

12612500 is an equidigital number, since it uses as much as digits as its factorization.

12612500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1038 (or 1016 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 17.

The square root of 12612500 is about 3551.4081714160. The cubic root of 12612500 is about 232.7736016720.

The spelling of 12612500 in words is "twelve million, six hundred twelve thousand, five hundred".