12432121316160 has 448 divisors, whose sum is σ = 49497544115712. Its totient is φ = 2573548683264.

The previous prime is 12432121316149. The next prime is 12432121316201. The reversal of 12432121316160 is 6161312123421.

It is a tau number, because it is divible by the number of its divisors (448).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3287542 + ... + 5972618.

It is an arithmetic number, because the mean of its divisors is an integer number (110485589544).

Almost surely, 2^{12432121316160} is an apocalyptic number.

12432121316160 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 12432121316160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24748772057856).

12432121316160 is an abundant number, since it is smaller than the sum of its proper divisors (37065422799552).

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

12432121316160 is a wasteful number, since it uses less digits than its factorization.

12432121316160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2685170 (or 2685160 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 33.

Adding to 12432121316160 its reverse (6161312123421), we get a palindrome (18593433439581).

The spelling of 12432121316160 in words is "twelve trillion, four hundred thirty-two billion, one hundred twenty-one million, three hundred sixteen thousand, one hundred sixty".