12905000 has 80 divisors (see below), whose sum is σ = 31630500. Its totient is φ = 4928000.

The previous prime is 12904993. The next prime is 12905003. The reversal of 12905000 is 50921.

It can be written as a sum of positive squares in 10 ways, for example, as 2316484 + 10588516 = 1522^2 + 3254^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 12905000.

It is not an unprimeable number, because it can be changed into a prime (12905003) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 144956 + ... + 145044.

Almost surely, 2^12905000 is an apocalyptic number.

12905000 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 12905000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15815250).

12905000 is an abundant number, since it is smaller than the sum of its proper divisors (18725500).

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

12905000 is an equidigital number, since it uses as much as digits as its factorization.

12905000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 144 (or 125 counting only the distinct ones).

The product of its (nonzero) digits is 90, while the sum is 17.

The square root of 12905000 is about 3592.3529893372. The cubic root of 12905000 is about 234.5593068794.

Adding to 12905000 its reverse (50921), we get a palindrome (12955921).

The spelling of 12905000 in words is "twelve million, nine hundred five thousand".