12963216 has 80 divisors (see below), whose sum is σ = 39247488. Its totient is φ = 3609600.

The previous prime is 12963173. The next prime is 12963229. The reversal of 12963216 is 61236921.

It is an alternating number because its digits alternate between odd and even.

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 15 ways as a sum of consecutive naturals, for example, 13306 + ... + 14246.

Almost surely, 2^12963216 is an apocalyptic number.

12963216 is a gapful number since it is divisible by the number (16) 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 12963216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19623744).

12963216 is an abundant number, since it is smaller than the sum of its proper divisors (26284272).

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

12963216 is a wasteful number, since it uses less digits than its factorization.

12963216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1000 (or 994 counting only the distinct ones).

The product of its digits is 3888, while the sum is 30.

The square root of 12963216 is about 3600.4466389602. The cubic root of 12963216 is about 234.9114862063.

The spelling of 12963216 in words is "twelve million, nine hundred sixty-three thousand, two hundred sixteen".