12934800 has 90 divisors (see below), whose sum is σ = 44899842. Its totient is φ = 3448320.

The previous prime is 12934799. The next prime is 12934837. The reversal of 12934800 is 843921.

It can be written as a sum of positive squares in 3 ways, for example, as 318096 + 12616704 = 564^2 + 3552^2 .

It is a tau number, because it is divible by the number of its divisors (90).

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 17 ways as a sum of consecutive naturals, for example, 1804 + ... + 5396.

Almost surely, 2^12934800 is an apocalyptic number.

12934800 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 12934800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22449921).

12934800 is an abundant number, since it is smaller than the sum of its proper divisors (31965042).

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

12934800 is a wasteful number, since it uses less digits than its factorization.

12934800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3617 (or 3603 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 12934800 is about 3596.4982969550. The cubic root of 12934800 is about 234.7397148335.

The spelling of 12934800 in words is "twelve million, nine hundred thirty-four thousand, eight hundred".