12128961 has 24 divisors (see below), whose sum is σ = 17919360. Its totient is φ = 7290816.

The previous prime is 12128959. The next prime is 12128969. The reversal of 12128961 is 16982121.

It is a happy number.

It is not a de Polignac number, because 12128961 - 2¹ = 12128959 is a prime.

It is a super-2 number, since 2×12128961² = 294223389879042, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (12128969) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 23575 + ... + 24083.

It is an arithmetic number, because the mean of its divisors is an integer number (746640).

Almost surely, 2^12128961 is an apocalyptic number.

It is an amenable number.

12128961 is a deficient number, since it is larger than the sum of its proper divisors (5790399).

12128961 is a wasteful number, since it uses less digits than its factorization.

12128961 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 585 (or 572 counting only the distinct ones).

The product of its digits is 1728, while the sum is 30.

The square root of 12128961 is about 3482.6657893057. The cubic root of 12128961 is about 229.7600585331.

The spelling of 12128961 in words is "twelve million, one hundred twenty-eight thousand, nine hundred sixty-one".