12380160 has 192 divisors, whose sum is σ = 44029440. Its totient is φ = 2949120.

The previous prime is 12380149. The next prime is 12380161. The reversal of 12380160 is 6108321.

It is a tau number, because it is divible by the number of its divisors (192).

It is not an unprimeable number, because it can be changed into a prime (12380161) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 399345 + ... + 399375.

It is an arithmetic number, because the mean of its divisors is an integer number (229320).

Almost surely, 2^12380160 is an apocalyptic number.

12380160 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 12380160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22014720).

12380160 is an abundant number, since it is smaller than the sum of its proper divisors (31649280).

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

12380160 is a wasteful number, since it uses less digits than its factorization.

12380160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 74 (or 54 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 21.

The square root of 12380160 is about 3518.5451538953. The cubic root of 12380160 is about 231.3353948072.

Adding to 12380160 its reverse (6108321), we get a palindrome (18488481).

The spelling of 12380160 in words is "twelve million, three hundred eighty thousand, one hundred sixty".