12160668456224 has 288 divisors, whose sum is σ = 26599786867584. Its totient is φ = 5457765519360.

The previous prime is 12160668456191. The next prime is 12160668456239. The reversal of 12160668456224 is 42265486606121.

It is a Cunningham number, because it is equal to 3487215²-1.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3738291782 + ... + 3738295034.

It is an arithmetic number, because the mean of its divisors is an integer number (92360371068).

Almost surely, 2^{12160668456224} 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 12160668456224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13299893433792).

12160668456224 is an abundant number, since it is smaller than the sum of its proper divisors (14439118411360).

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

12160668456224 is a wasteful number, since it uses less digits than its factorization.

12160668456224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3480 (or 3429 counting only the distinct ones).

The product of its (nonzero) digits is 6635520, while the sum is 53.

The spelling of 12160668456224 in words is "twelve trillion, one hundred sixty billion, six hundred sixty-eight million, four hundred fifty-six thousand, two hundred twenty-four".