12180462511616 has 640 divisors, whose sum is σ = 30942590976000. Its totient is φ = 4773495767040.

The previous prime is 12180462511577. The next prime is 12180462511631. The reversal of 12180462511616 is 61611526408121.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 11144063966 + ... + 11144065058.

It is an arithmetic number, because the mean of its divisors is an integer number (48347798400).

Almost surely, 2^{12180462511616} is an apocalyptic number.

12180462511616 is a gapful number since it is divisible by the number (16) 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 12180462511616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15471295488000).

12180462511616 is an abundant number, since it is smaller than the sum of its proper divisors (18762128464384).

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

12180462511616 is an equidigital number, since it uses as much as digits as its factorization.

12180462511616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1275 (or 1245 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 44.

Adding to 12180462511616 its reverse (61611526408121), we get a palindrome (73791988919737).

The spelling of 12180462511616 in words is "twelve trillion, one hundred eighty billion, four hundred sixty-two million, five hundred eleven thousand, six hundred sixteen".