12133242 has 48 divisors (see below), whose sum is σ = 28911168. Its totient is φ = 3647040.

The previous prime is 12133241. The next prime is 12133243. The reversal of 12133242 is 24233121.

It is an interprime number because it is at equal distance from previous prime (12133241) and next prime (12133243).

It is a super-2 number, since 2×12133242² = 294431122861128, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (12133241) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 46003 + ... + 46265.

It is an arithmetic number, because the mean of its divisors is an integer number (602316).

Almost surely, 2^12133242 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12133242, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14455584).

12133242 is an abundant number, since it is smaller than the sum of its proper divisors (16777926).

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

12133242 is a wasteful number, since it uses less digits than its factorization.

12133242 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 515 (or 512 counting only the distinct ones).

The product of its digits is 288, while the sum is 18.

The square root of 12133242 is about 3483.2803504742. The cubic root of 12133242 is about 229.7870871497.

Adding to 12133242 its reverse (24233121), we get a palindrome (36366363).

The spelling of 12133242 in words is "twelve million, one hundred thirty-three thousand, two hundred forty-two".