12241152 has 288 divisors, whose sum is σ = 47093760. Its totient is φ = 3041280.

The previous prime is 12241147. The next prime is 12241153. The reversal of 12241152 is 25114221.

It is a tau number, because it is divible by the number of its divisors (288).

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 (12241153) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 532213 + ... + 532235.

It is an arithmetic number, because the mean of its divisors is an integer number (163520).

Almost surely, 2^12241152 is an apocalyptic number.

12241152 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 12241152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23546880).

12241152 is an abundant number, since it is smaller than the sum of its proper divisors (34852608).

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

12241152 is a wasteful number, since it uses less digits than its factorization.

12241152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66 (or 46 counting only the distinct ones).

The product of its digits is 160, while the sum is 18.

The square root of 12241152 is about 3498.7357716752. The cubic root of 12241152 is about 230.4663003639.

Adding to 12241152 its reverse (25114221), we get a palindrome (37355373).

The spelling of 12241152 in words is "twelve million, two hundred forty-one thousand, one hundred fifty-two".