12508000 has 96 divisors (see below), whose sum is σ = 31842720. Its totient is φ = 4825600.

The previous prime is 12507997. The next prime is 12508003. The reversal of 12508000 is 80521.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (12507997) and next prime (12508003).

It is a sliding number, since 12508000 = 8000 + 12500000 and 1/8000 + 1/12500000 = 0.00012508000.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12508003) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 211971 + ... + 212029.

It is an arithmetic number, because the mean of its divisors is an integer number (331695).

Almost surely, 2^12508000 is an apocalyptic number.

12508000 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 12508000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15921360).

12508000 is an abundant number, since it is smaller than the sum of its proper divisors (19334720).

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

12508000 is an equidigital number, since it uses as much as digits as its factorization.

12508000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 137 (or 119 counting only the distinct ones).

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

The square root of 12508000 is about 3536.6650958212. The cubic root of 12508000 is about 232.1289414031.

Adding to 12508000 its reverse (80521), we get a palindrome (12588521).

It can be divided in two parts, 1250 and 8000, that multiplied together give a 7-th power (10000000 = 10⁷).

The spelling of 12508000 in words is "twelve million, five hundred eight thousand".