12641160 has 128 divisors (see below), whose sum is σ = 44064000. Its totient is φ = 2841600.

The previous prime is 12641147. The next prime is 12641171. The reversal of 12641160 is 6114621.

It is a super-2 number, since 2×12641160² = 319597852291200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 84766 + ... + 84914.

It is an arithmetic number, because the mean of its divisors is an integer number (344250).

Almost surely, 2^12641160 is an apocalyptic number.

12641160 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 12641160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22032000).

12641160 is an abundant number, since it is smaller than the sum of its proper divisors (31422840).

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

12641160 is a wasteful number, since it uses less digits than its factorization.

12641160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 271 (or 267 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 21.

The square root of 12641160 is about 3555.4409009292. The cubic root of 12641160 is about 232.9497825673.

Adding to 12641160 its reverse (6114621), we get a palindrome (18755781).

The spelling of 12641160 in words is "twelve million, six hundred forty-one thousand, one hundred sixty".