12512000 has 144 divisors (see below), whose sum is σ = 34437312. Its totient is φ = 4505600.

The previous prime is 12511991. The next prime is 12512029. The reversal of 12512000 is 21521.

12512000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 543989 + ... + 544011.

It is an arithmetic number, because the mean of its divisors is an integer number (239148).

Almost surely, 2^12512000 is an apocalyptic number.

12512000 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 12512000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17218656).

12512000 is an abundant number, since it is smaller than the sum of its proper divisors (21925312).

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

12512000 is an equidigital number, since it uses as much as digits as its factorization.

12512000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 71 (or 47 counting only the distinct ones).

The product of its (nonzero) digits is 20, while the sum is 11.

The square root of 12512000 is about 3537.2305551095. The cubic root of 12512000 is about 232.1536833497.

Adding to 12512000 its reverse (21521), we get a palindrome (12533521).

The spelling of 12512000 in words is "twelve million, five hundred twelve thousand".