12096871464960 has 720 divisors, whose sum is σ = 44774460605952. Its totient is φ = 3121348608000.

The previous prime is 12096871464893. The next prime is 12096871464961. The reversal of 12096871464960 is 6946417869021.

12096871464960 is a `hidden beast` number, since 1 + 2 + 0 + 9 + 6 + 87 + 1 + 464 + 96 + 0 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (12096871464961) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1645605285 + ... + 1645612635.

Almost surely, 2^{12096871464960} is an apocalyptic number.

12096871464960 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 12096871464960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22387230302976).

12096871464960 is an abundant number, since it is smaller than the sum of its proper divisors (32677589140992).

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

12096871464960 is an frugal number, since it uses more digits than its factorization.

12096871464960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7433 (or 7392 counting only the distinct ones).

The product of its (nonzero) digits is 31352832, while the sum is 63.

The spelling of 12096871464960 in words is "twelve trillion, ninety-six billion, eight hundred seventy-one million, four hundred sixty-four thousand, nine hundred sixty".