12912000 has 128 divisors (see below), whose sum is σ = 42962400. Its totient is φ = 3430400.

The previous prime is 12911999. The next prime is 12912013. The reversal of 12912000 is 21921.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 47866 + ... + 48134.

Almost surely, 2^12912000 is an apocalyptic number.

12912000 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 12912000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21481200).

12912000 is an abundant number, since it is smaller than the sum of its proper divisors (30050400).

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

12912000 is an equidigital number, since it uses as much as digits as its factorization.

12912000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 301 (or 279 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 15.

The square root of 12912000 is about 3593.3271490361. The cubic root of 12912000 is about 234.6017095234.

Adding to 12912000 its reverse (21921), we get a palindrome (12933921).

The spelling of 12912000 in words is "twelve million, nine hundred twelve thousand".