12180768 has 48 divisors (see below), whose sum is σ = 33014016. Its totient is φ = 3928320.

The previous prime is 12180743. The next prime is 12180787. The reversal of 12180768 is 86708121.

It is a happy number.

12180768 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

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

It is a super-2 number, since 2×12180768² = 296742218139648, which contains 22 as substring.

It is a Smith number, since the sum of its digits (33) coincides with the sum of the digits of its prime factors.

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, 930 + ... + 5022.

It is an arithmetic number, because the mean of its divisors is an integer number (687792).

Almost surely, 2^12180768 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 12180768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16507008).

12180768 is an abundant number, since it is smaller than the sum of its proper divisors (20833248).

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

12180768 is a wasteful number, since it uses less digits than its factorization.

12180768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4137 (or 4129 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 33.

The square root of 12180768 is about 3490.0957006936. The cubic root of 12180768 is about 230.0867221805.

Adding to 12180768 its reverse (86708121), we get a palindrome (98888889).

The spelling of 12180768 in words is "twelve million, one hundred eighty thousand, seven hundred sixty-eight".