12641136 has 40 divisors (see below), whose sum is σ = 33279120. Its totient is φ = 4133376.

The previous prime is 12641119. The next prime is 12641147. The reversal of 12641136 is 63114621.

12641136 = T₆₆₄ + T₆₆₅ + ... + T₇₁₆.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 60 + ... + 5028.

It is an arithmetic number, because the mean of its divisors is an integer number (831978).

Almost surely, 2^12641136 is an apocalyptic number.

12641136 is a gapful number since it is divisible by the number (16) 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 12641136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16639560).

12641136 is an abundant number, since it is smaller than the sum of its proper divisors (20637984).

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

12641136 is a wasteful number, since it uses less digits than its factorization.

12641136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5033 (or 5027 counting only the distinct ones).

The product of its digits is 864, while the sum is 24.

The square root of 12641136 is about 3555.4375258187. The cubic root of 12641136 is about 232.9496351442.

Adding to 12641136 its reverse (63114621), we get a palindrome (75755757).

The spelling of 12641136 in words is "twelve million, six hundred forty-one thousand, one hundred thirty-six".