12742112 has 48 divisors (see below), whose sum is σ = 27079920. Its totient is φ = 5879808.

The previous prime is 12742111. The next prime is 12742117. The reversal of 12742112 is 21124721.

It is a super-2 number, since 2×12742112² = 324722836441088, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12742111) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 31898 + ... + 32294.

It is an arithmetic number, because the mean of its divisors is an integer number (564165).

Almost surely, 2^12742112 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12742112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13539960).

12742112 is an abundant number, since it is smaller than the sum of its proper divisors (14337808).

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

12742112 is a wasteful number, since it uses less digits than its factorization.

12742112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 483 (or 475 counting only the distinct ones).

The product of its digits is 224, while the sum is 20.

The square root of 12742112 is about 3569.6095024526. The cubic root of 12742112 is about 233.5682495785.

Adding to 12742112 its reverse (21124721), we get a palindrome (33866833).

The spelling of 12742112 in words is "twelve million, seven hundred forty-two thousand, one hundred twelve".