12963200 has 48 divisors (see below), whose sum is σ = 32031060. Its totient is φ = 5184000.

The previous prime is 12963173. The next prime is 12963229. The reversal of 12963200 is 236921.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1175 + ... + 5225.

Almost surely, 2^12963200 is an apocalyptic number.

12963200 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 12963200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16015530).

12963200 is an abundant number, since it is smaller than the sum of its proper divisors (19067860).

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

12963200 is an equidigital number, since it uses as much as digits as its factorization.

12963200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4075 (or 4058 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 23.

The square root of 12963200 is about 3600.4444170130. Note that the first 4 decimals coincide. The cubic root of 12963200 is about 234.9113895589.

The spelling of 12963200 in words is "twelve million, nine hundred sixty-three thousand, two hundred".