12268128 has 48 divisors (see below), whose sum is σ = 32901120. Its totient is φ = 4000896.

The previous prime is 12268103. The next prime is 12268133. The reversal of 12268128 is 82186221.

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

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 12268095 and 12268104.

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 3153 + ... + 5871.

It is an arithmetic number, because the mean of its divisors is an integer number (685440).

Almost surely, 2^12268128 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 12268128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16450560).

12268128 is an abundant number, since it is smaller than the sum of its proper divisors (20632992).

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

12268128 is a wasteful number, since it uses less digits than its factorization.

12268128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2779 (or 2771 counting only the distinct ones).

The product of its digits is 3072, while the sum is 30.

The square root of 12268128 is about 3502.5887569054. The cubic root of 12268128 is about 230.6354701073.

The spelling of 12268128 in words is "twelve million, two hundred sixty-eight thousand, one hundred twenty-eight".