12468000 has 96 divisors (see below), whose sum is σ = 40884480. Its totient is φ = 3321600.

The previous prime is 12467981. The next prime is 12468007. The reversal of 12468000 is 86421.

It is a tau number, because it is divible by the number of its divisors (96).

It is not an unprimeable number, because it can be changed into a prime (12468007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11481 + ... + 12519.

It is an arithmetic number, because the mean of its divisors is an integer number (425880).

Almost surely, 2^12468000 is an apocalyptic number.

12468000 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 12468000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20442240).

12468000 is an abundant number, since it is smaller than the sum of its proper divisors (28416480).

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

12468000 is a wasteful number, since it uses less digits than its factorization.

12468000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1067 (or 1049 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 21.

The square root of 12468000 is about 3531.0055225105. The cubic root of 12468000 is about 231.8812313212.

The spelling of 12468000 in words is "twelve million, four hundred sixty-eight thousand".