12664120 has 64 divisors (see below), whose sum is σ = 33638400. Its totient is φ = 4199040.

The previous prime is 12664117. The next prime is 12664129. The reversal of 12664120 is 2146621.

It is a junction number, because it is equal to n+sod(n) for n = 12664091 and 12664100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12664129) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7951 + ... + 9409.

It is an arithmetic number, because the mean of its divisors is an integer number (525600).

Almost surely, 2^12664120 is an apocalyptic number.

12664120 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 12664120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16819200).

12664120 is an abundant number, since it is smaller than the sum of its proper divisors (20974280).

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

12664120 is a wasteful number, since it uses less digits than its factorization.

12664120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1508 (or 1504 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 22.

The square root of 12664120 is about 3558.6682902457. The cubic root of 12664120 is about 233.0907319769.

It can be divided in two parts, 126 and 64120, that added together give a palindrome (64246).

The spelling of 12664120 in words is "twelve million, six hundred sixty-four thousand, one hundred twenty".