12512400 has 60 divisors (see below), whose sum is σ = 40085232. Its totient is φ = 3336320.

The previous prime is 12512389. The next prime is 12512407. The reversal of 12512400 is 421521.

It is a tau number, because it is divible by the number of its divisors (60).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 12512400.

It is not an unprimeable number, because it can be changed into a prime (12512407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4014 + ... + 6413.

Almost surely, 2^12512400 is an apocalyptic number.

12512400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12512400 is an abundant number, since it is smaller than the sum of its proper divisors (27572832).

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

12512400 is a wasteful number, since it uses less digits than its factorization.

12512400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10448 (or 10437 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 15.

The square root of 12512400 is about 3537.2870960667. The cubic root of 12512400 is about 232.1561572543.

Adding to 12512400 its reverse (421521), we get a palindrome (12933921).

The spelling of 12512400 in words is "twelve million, five hundred twelve thousand, four hundred".