12128960 has 56 divisors (see below), whose sum is σ = 29900880. Its totient is φ = 4680704.

The previous prime is 12128959. The next prime is 12128969. The reversal of 12128960 is 6982121.

It is a super-2 number, since 2×12128960² = 294223341363200, which contains 22 as substring.

It is a hoax number, since the sum of its digits (29) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (29).

It is a plaindrome in base 13.

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 7 ways as a sum of consecutive naturals, for example, 8627 + ... + 9933.

Almost surely, 2^12128960 is an apocalyptic number.

12128960 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12128960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14950440).

12128960 is an abundant number, since it is smaller than the sum of its proper divisors (17771920).

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

12128960 is a wasteful number, since it uses less digits than its factorization.

12128960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1353 (or 1343 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 29.

The square root of 12128960 is about 3482.6656457375. The cubic root of 12128960 is about 229.7600522187.

The spelling of 12128960 in words is "twelve million, one hundred twenty-eight thousand, nine hundred sixty".