12963000 has 128 divisors (see below), whose sum is σ = 42120000. Its totient is φ = 3315200.

The previous prime is 12962981. The next prime is 12963089. The reversal of 12963000 is 36921.

12963000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 86926 + ... + 87074.

Almost surely, 2^12963000 is an apocalyptic number.

12963000 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 12963000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21060000).

12963000 is an abundant number, since it is smaller than the sum of its proper divisors (29157000).

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

12963000 is a wasteful number, since it uses less digits than its factorization.

12963000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 202 (or 188 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 21.

The square root of 12963000 is about 3600.4166425568. The cubic root of 12963000 is about 234.9101814591.

Adding to 12963000 its reverse (36921), we get a palindrome (12999921).

The spelling of 12963000 in words is "twelve million, nine hundred sixty-three thousand".