12180064 has 96 divisors (see below), whose sum is σ = 28788480. Its totient is φ = 5018112.

The previous prime is 12180061. The next prime is 12180073. The reversal of 12180064 is 46008121.

12180064 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 (12180061) 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, 181759 + ... + 181825.

It is an arithmetic number, because the mean of its divisors is an integer number (299880).

Almost surely, 2^12180064 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12180064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14394240).

12180064 is an abundant number, since it is smaller than the sum of its proper divisors (16608416).

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

12180064 is a wasteful number, since it uses less digits than its factorization.

12180064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 132 (or 124 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 22.

The square root of 12180064 is about 3489.9948424031. The cubic root of 12180064 is about 230.0822893956.

Adding to 12180064 its reverse (46008121), we get a palindrome (58188185).

The spelling of 12180064 in words is "twelve million, one hundred eighty thousand, sixty-four".