12180072960 has 720 divisors, whose sum is σ = 49284923688. Its totient is φ = 2768240640.

The previous prime is 12180072959. The next prime is 12180072967. The reversal of 12180072960 is 6927008121.

It can be written as a sum of positive squares in 4 ways, for example, as 12177563904 + 2509056 = 110352^2 + 1584^2 .

It is a tau number, because it is divible by the number of its divisors (720).

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

It is not an unprimeable number, because it can be changed into a prime (12180072967) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 47393152 + ... + 47393408.

Almost surely, 2^12180072960 is an apocalyptic number.

12180072960 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 12180072960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24642461844).

12180072960 is an abundant number, since it is smaller than the sum of its proper divisors (37104850728).

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

12180072960 is a wasteful number, since it uses less digits than its factorization.

12180072960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 325 (or 295 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 36.

The spelling of 12180072960 in words is "twelve billion, one hundred eighty million, seventy-two thousand, nine hundred sixty".