12961728 has 112 divisors (see below), whose sum is σ = 41107360. Its totient is φ = 3981312.

The previous prime is 12961727. The next prime is 12961757. The reversal of 12961728 is 82716921.

12961728 is a `hidden beast` number, since 12 + 9 + 617 + 28 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nialpdrome in base 12.

It is a zygodrome in base 12.

It is a junction number, because it is equal to n+sod(n) for n = 12961692 and 12961701.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12961721) 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, 22176 + ... + 22752.

It is an arithmetic number, because the mean of its divisors is an integer number (367030).

Almost surely, 2^12961728 is an apocalyptic number.

12961728 is a gapful number since it is divisible by the number (18) 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 12961728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20553680).

12961728 is an abundant number, since it is smaller than the sum of its proper divisors (28145632).

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

12961728 is a wasteful number, since it uses less digits than its factorization.

12961728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 611 (or 595 counting only the distinct ones).

The product of its digits is 12096, while the sum is 36.

The square root of 12961728 is about 3600.2399920005. The cubic root of 12961728 is about 234.9024976532.

It can be divided in two parts, 12961 and 728, that added together give a square (13689 = 117²).

The spelling of 12961728 in words is "twelve million, nine hundred sixty-one thousand, seven hundred twenty-eight".