12064000 has 144 divisors (see below), whose sum is σ = 33480720. Its totient is φ = 4300800.

The previous prime is 12063901. The next prime is 12064009. The reversal of 12064000 is 46021.

It can be written as a sum of positive squares in 8 ways, for example, as 6071296 + 5992704 = 2464^2 + 2448^2 .

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12064009) by changing a digit.

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, 415986 + ... + 416014.

It is an arithmetic number, because the mean of its divisors is an integer number (232505).

Almost surely, 2^12064000 is an apocalyptic number.

12064000 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 12064000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16740360).

12064000 is an abundant number, since it is smaller than the sum of its proper divisors (21416720).

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

12064000 is an equidigital number, since it uses as much as digits as its factorization.

12064000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73 (or 49 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 13.

The square root of 12064000 is about 3473.3269353748. The cubic root of 12064000 is about 229.3491365830.

The spelling of 12064000 in words is "twelve million, sixty-four thousand".