12334160 has 40 divisors (see below), whose sum is σ = 29228040. Its totient is φ = 4838912.

The previous prime is 12334151. The next prime is 12334183. The reversal of 12334160 is 6143321.

It can be written as a sum of positive squares in 4 ways, for example, as 4426816 + 7907344 = 2104^2 + 2812^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (20).

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, 2786 + ... + 5694.

It is an arithmetic number, because the mean of its divisors is an integer number (730701).

Almost surely, 2^12334160 is an apocalyptic number.

12334160 is a gapful number since it is divisible by the number (10) 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 12334160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14614020).

12334160 is an abundant number, since it is smaller than the sum of its proper divisors (16893880).

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

12334160 is a wasteful number, since it uses less digits than its factorization.

12334160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2975 (or 2969 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 20.

The square root of 12334160 is about 3512.0022779036. The cubic root of 12334160 is about 231.0485208821.

Adding to 12334160 its reverse (6143321), we get a palindrome (18477481).

The spelling of 12334160 in words is "twelve million, three hundred thirty-four thousand, one hundred sixty".