12741600 has 72 divisors (see below), whose sum is σ = 41481720. Its totient is φ = 3397120.

The previous prime is 12741593. The next prime is 12741613. The reversal of 12741600 is 614721.

It is a congruent number.

It is an unprimeable number.

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, 255 + ... + 5054.

It is an arithmetic number, because the mean of its divisors is an integer number (576135).

Almost surely, 2^12741600 is an apocalyptic number.

12741600 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 12741600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20740860).

12741600 is an abundant number, since it is smaller than the sum of its proper divisors (28740120).

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

12741600 is a wasteful number, since it uses less digits than its factorization.

12741600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5332 (or 5319 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 21.

The square root of 12741600 is about 3569.5377852041. The cubic root of 12741600 is about 233.5651211452.

The spelling of 12741600 in words is "twelve million, seven hundred forty-one thousand, six hundred".