12641112 has 72 divisors (see below), whose sum is σ = 37657620. Its totient is φ = 3828000.

The previous prime is 12641093. The next prime is 12641119. The reversal of 12641112 is 21114621.

12641112 is a `hidden beast` number, since 12 + 641 + 1 + 12 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a hoax number, since the sum of its digits (18) 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 (18).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12641119) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 7987 + ... + 9437.

Almost surely, 2^12641112 is an apocalyptic number.

12641112 is a gapful number since it is divisible by the number (12) 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 12641112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18828810).

12641112 is an abundant number, since it is smaller than the sum of its proper divisors (25016508).

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

12641112 is a wasteful number, since it uses less digits than its factorization.

12641112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1485 (or 1467 counting only the distinct ones).

The product of its digits is 96, while the sum is 18.

The square root of 12641112 is about 3555.4341507051. The cubic root of 12641112 is about 232.9494877209.

Adding to 12641112 its reverse (21114621), we get a palindrome (33755733).

The spelling of 12641112 in words is "twelve million, six hundred forty-one thousand, one hundred twelve".