12936000 has 336 divisors, whose sum is σ = 54205632. Its totient is φ = 2688000.

The previous prime is 12935999. The next prime is 12936023. The reversal of 12936000 is 63921.

It is a tau number, because it is divible by the number of its divisors (336).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1175995 + ... + 1176005.

Almost surely, 2^12936000 is an apocalyptic number.

12936000 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 12936000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27102816).

12936000 is an abundant number, since it is smaller than the sum of its proper divisors (41269632).

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

12936000 is a wasteful number, since it uses less digits than its factorization.

12936000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55 (or 28 counting only the distinct ones).

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

The square root of 12936000 is about 3596.6651220262. The cubic root of 12936000 is about 234.7469737770.

Adding to 12936000 its reverse (63921), we get a palindrome (12999921).

The spelling of 12936000 in words is "twelve million, nine hundred thirty-six thousand".