12576000 has 144 divisors (see below), whose sum is σ = 42090048. Its totient is φ = 3328000.

The previous prime is 12575977. The next prime is 12576001. The reversal of 12576000 is 67521.

12576000 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 not an unprimeable number, because it can be changed into a prime (12576001) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 95935 + ... + 96065.

It is an arithmetic number, because the mean of its divisors is an integer number (292292).

Almost surely, 2^12576000 is an apocalyptic number.

12576000 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 12576000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21045024).

12576000 is an abundant number, since it is smaller than the sum of its proper divisors (29514048).

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

12576000 is an equidigital number, since it uses as much as digits as its factorization.

12576000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 165 (or 141 counting only the distinct ones).

The product of its (nonzero) digits is 420, while the sum is 21.

The square root of 12576000 is about 3546.2656414882. The cubic root of 12576000 is about 232.5488393180.

The spelling of 12576000 in words is "twelve million, five hundred seventy-six thousand".