12628242 has 96 divisors (see below), whose sum is σ = 32348160. Its totient is φ = 3521760.

The previous prime is 12628223. The next prime is 12628243. The reversal of 12628242 is 24282621.

It is a happy number.

12628242 is a `hidden beast` number, since 12 + 628 + 24 + 2 = 666.

It is not an unprimeable number, because it can be changed into a prime (12628243) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 214009 + ... + 214067.

It is an arithmetic number, because the mean of its divisors is an integer number (336960).

Almost surely, 2^12628242 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12628242, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16174080).

12628242 is an abundant number, since it is smaller than the sum of its proper divisors (19719918).

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

12628242 is a wasteful number, since it uses less digits than its factorization.

12628242 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 148 (or 145 counting only the distinct ones).

The product of its digits is 3072, while the sum is 27.

The square root of 12628242 is about 3553.6237842518. The cubic root of 12628242 is about 232.8704050703.

The spelling of 12628242 in words is "twelve million, six hundred twenty-eight thousand, two hundred forty-two".