12301728 has 48 divisors (see below), whose sum is σ = 32578560. Its totient is φ = 4064256.

The previous prime is 12301717. The next prime is 12301753. The reversal of 12301728 is 82710321.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 12301698 and 12301707.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 11688 + ... + 12696.

It is an arithmetic number, because the mean of its divisors is an integer number (678720).

Almost surely, 2^12301728 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 12301728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16289280).

12301728 is an abundant number, since it is smaller than the sum of its proper divisors (20276832).

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

12301728 is a wasteful number, since it uses less digits than its factorization.

12301728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1149 (or 1141 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 24.

The square root of 12301728 is about 3507.3819295879. The cubic root of 12301728 is about 230.8458333045.

The spelling of 12301728 in words is "twelve million, three hundred one thousand, seven hundred twenty-eight".