12960000 has 225 divisors, whose sum is σ = 48290011. Its totient is φ = 3456000.

The previous prime is 12959993. The next prime is 12960019. The reversal of 12960000 is 6921.

The square root of 12960000 is 3600.

It is a perfect power (a square, a biquadrate), and thus also a powerful number.

It can be written as a sum of positive squares in 2 ways, for example, as 1016064 + 11943936 = 1008^2 + 3456^2 .

It is a tau number, because it is divible by the number of its divisors (225).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a Duffinian number.

It is a nialpdrome in base 12.

It is a Saint-Exupery number, since it is equal to the product of the sides of a Pythagorean triangle: 300 × 180 × 240.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 24 ways as a sum of consecutive naturals, for example, 2591998 + ... + 2592002.

Almost surely, 2^12960000 is an apocalyptic number.

12960000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

12960000 is the 3600-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12960000

12960000 is an abundant number, since it is smaller than the sum of its proper divisors (35330011).

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

12960000 is an frugal number, since it uses more digits than its factorization.

12960000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48 (or 10 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

The cubic root of 12960000 is about 234.8920584701.

Adding to 12960000 its reverse (6921), we get a palindrome (12966921).

The spelling of 12960000 in words is "twelve million, nine hundred sixty thousand".