12140128 has 96 divisors (see below), whose sum is σ = 32175360. Its totient is φ = 4354560.

The previous prime is 12140123. The next prime is 12140129. The reversal of 12140128 is 82104121.

It is a happy number.

12140128 is digitally balanced in base 2 and base 8, because in such bases it contains all the possibile digits an equal number of times.

12140128 is a nontrivial binomial coefficient, being equal to C(4928, 2).

12140128 is strictly pandigital in base 8.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12140123) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 31843 + ... + 32221.

It is an arithmetic number, because the mean of its divisors is an integer number (335160).

Almost surely, 2^12140128 is an apocalyptic number.

12140128 is the 4927-th triangular number and also the 2464-th hexagonal number.

12140128 is the 1643-rd centered nonagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12140128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16087680).

12140128 is an abundant number, since it is smaller than the sum of its proper divisors (20035232).

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

12140128 is a wasteful number, since it uses less digits than its factorization.

12140128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 420 (or 412 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 19.

The square root of 12140128 is about 3484.2686463589. The cubic root of 12140128 is about 229.8305494175.

Adding to 12140128 its reverse (82104121), we get a palindrome (94244249).

The spelling of 12140128 in words is "twelve million, one hundred forty thousand, one hundred twenty-eight".