12181152 has 48 divisors (see below), whose sum is σ = 32175360. Its totient is φ = 4035072.

The previous prime is 12181139. The next prime is 12181157. The reversal of 12181152 is 25118121.

It is a tau number, because it is divible by the number of its divisors (48).

It is not an unprimeable number, because it can be changed into a prime (12181157) 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 7 ways as a sum of consecutive naturals, for example, 21124 + ... + 21692.

It is an arithmetic number, because the mean of its divisors is an integer number (670320).

Almost surely, 2^12181152 is an apocalyptic number.

12181152 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 12181152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16087680).

12181152 is an abundant number, since it is smaller than the sum of its proper divisors (19994208).

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

12181152 is a wasteful number, since it uses less digits than its factorization.

12181152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 805 (or 797 counting only the distinct ones).

The product of its digits is 160, while the sum is 21.

The square root of 12181152 is about 3490.1507130782. The cubic root of 12181152 is about 230.0891399911.

Adding to 12181152 its reverse (25118121), we get a palindrome (37299273).

The spelling of 12181152 in words is "twelve million, one hundred eighty-one thousand, one hundred fifty-two".