11712128 has 32 divisors (see below), whose sum is σ = 23973060. Its totient is φ = 5695488.

The previous prime is 11712121. The next prime is 11712131. The reversal of 11712128 is 82121711.

It can be written as a sum of positive squares in 2 ways, for example, as 10291264 + 1420864 = 3208^2 + 1192^2 .

It is a tau number, because it is divible by the number of its divisors (32).

It is not an unprimeable number, because it can be changed into a prime (11712121) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 3500 + ... + 5972.

Almost surely, 2^11712128 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 11712128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11986530).

11712128 is an abundant number, since it is smaller than the sum of its proper divisors (12260932).

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

11712128 is an equidigital number, since it uses as much as digits as its factorization.

11712128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2524 (or 2512 counting only the distinct ones).

The product of its digits is 224, while the sum is 23.

The square root of 11712128 is about 3422.2986427254. The cubic root of 11712128 is about 227.0972821403.

Adding to 11712128 its reverse (82121711), we get a palindrome (93833839).

The spelling of 11712128 in words is "eleven million, seven hundred twelve thousand, one hundred twenty-eight".