12180508704 has 576 divisors, whose sum is σ = 46617742080. Its totient is φ = 3019161600.

The previous prime is 12180508591. The next prime is 12180508757. The reversal of 12180508704 is 40780508121.

12180508704 is a `hidden beast` number, since 1 + 2 + 1 + 80 + 508 + 70 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 17375554 + ... + 17376254.

It is an arithmetic number, because the mean of its divisors is an integer number (80933580).

Almost surely, 2^12180508704 is an apocalyptic number.

12180508704 is a gapful number since it is divisible by the number (14) 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 12180508704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23308871040).

12180508704 is an abundant number, since it is smaller than the sum of its proper divisors (34437233376).

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

12180508704 is a wasteful number, since it uses less digits than its factorization.

12180508704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 770 (or 743 counting only the distinct ones).

The product of its (nonzero) digits is 17920, while the sum is 36.

The spelling of 12180508704 in words is "twelve billion, one hundred eighty million, five hundred eight thousand, seven hundred four".