12162144 has 48 divisors (see below), whose sum is σ = 32175360. Its totient is φ = 4022400.

The previous prime is 12162133. The next prime is 12162169. The reversal of 12162144 is 44126121.

It is a happy number.

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

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 12162144.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 14077 + ... + 14915.

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

Almost surely, 2^12162144 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 12162144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16087680).

12162144 is an abundant number, since it is smaller than the sum of its proper divisors (20013216).

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

12162144 is a wasteful number, since it uses less digits than its factorization.

12162144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1003 (or 995 counting only the distinct ones).

The product of its digits is 384, while the sum is 21.

The square root of 12162144 is about 3487.4265583665. The cubic root of 12162144 is about 229.9693973146.

Adding to 12162144 its reverse (44126121), we get a palindrome (56288265).

The spelling of 12162144 in words is "twelve million, one hundred sixty-two thousand, one hundred forty-four".