12914600 has 48 divisors (see below), whose sum is σ = 31009920. Its totient is φ = 4996800.

The previous prime is 12914597. The next prime is 12914609. The reversal of 12914600 is 641921.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (12914609) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5159 + ... + 7241.

It is an arithmetic number, because the mean of its divisors is an integer number (646040).

Almost surely, 2^12914600 is an apocalyptic number.

12914600 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 12914600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15504960).

12914600 is an abundant number, since it is smaller than the sum of its proper divisors (18095320).

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

12914600 is a wasteful number, since it uses less digits than its factorization.

12914600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2130 (or 2121 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 23.

The square root of 12914600 is about 3593.6889125243. The cubic root of 12914600 is about 234.6174551737.

The spelling of 12914600 in words is "twelve million, nine hundred fourteen thousand, six hundred".