12179645571840 has 288 divisors, whose sum is σ = 42515521284096. Its totient is φ = 2958243594240.

The previous prime is 12179645571829. The next prime is 12179645571851. The reversal of 12179645571840 is 4817554697121.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (12179645571829) and next prime (12179645571851).

It is a Harshad number since it is a multiple of its sum of digits (60).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 985602 + ... + 5032961.

It is an arithmetic number, because the mean of its divisors is an integer number (147623337792).

Almost surely, 2^{12179645571840} is an apocalyptic number.

12179645571840 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 12179645571840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21257760642048).

12179645571840 is an abundant number, since it is smaller than the sum of its proper divisors (30335875712256).

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

12179645571840 is a wasteful number, since it uses less digits than its factorization.

12179645571840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6018635 (or 6018621 counting only the distinct ones).

The product of its (nonzero) digits is 16934400, while the sum is 60.

The spelling of 12179645571840 in words is "twelve trillion, one hundred seventy-nine billion, six hundred forty-five million, five hundred seventy-one thousand, eight hundred forty".