12580000 has 120 divisors (see below), whose sum is σ = 33654852. Its totient is φ = 4608000.

The previous prime is 12579991. The next prime is 12580003. The reversal of 12580000 is 8521.

It is a happy number.

It can be written as a sum of positive squares in 10 ways, for example, as 104976 + 12475024 = 324^2 + 3532^2 .

It is a sliding number, since 12580000 = 80000 + 12500000 and 1/80000 + 1/12500000 = 0.000012580000.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is not an unprimeable number, because it can be changed into a prime (12580003) 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, 339982 + ... + 340018.

Almost surely, 2^12580000 is an apocalyptic number.

12580000 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 12580000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16827426).

12580000 is an abundant number, since it is smaller than the sum of its proper divisors (21074852).

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

12580000 is an equidigital number, since it uses as much as digits as its factorization.

12580000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 84 (or 61 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 16.

The square root of 12580000 is about 3546.8295701936. The cubic root of 12580000 is about 232.5734920097.

Adding to 12580000 its reverse (8521), we get a palindrome (12588521).

It can be divided in two parts, 125 and 80000, that multiplied together give a 7-th power (10000000 = 10⁷).

The spelling of 12580000 in words is "twelve million, five hundred eighty thousand".