12180553728 has 256 divisors, whose sum is σ = 38385684480. Its totient is φ = 3361996800.

The previous prime is 12180553711. The next prime is 12180553811. The reversal of 12180553728 is 82735508121.

It is a tau number, because it is divible by the number of its divisors (256).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a self number, because there is not a number n which added to its sum of digits gives 12180553728.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 21331683 + ... + 21332253.

It is an arithmetic number, because the mean of its divisors is an integer number (149944080).

Almost surely, 2^12180553728 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 12180553728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19192842240).

12180553728 is an abundant number, since it is smaller than the sum of its proper divisors (26205130752).

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

12180553728 is an frugal number, since it uses more digits than its factorization.

12180553728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 642 (or 614 counting only the distinct ones).

The product of its (nonzero) digits is 134400, while the sum is 42.

The spelling of 12180553728 in words is "twelve billion, one hundred eighty million, five hundred fifty-three thousand, seven hundred twenty-eight".