12179835604800 has 2520 divisors, whose sum is σ = 50181019637760. Its totient is φ = 2892472934400.

The previous prime is 12179835604747. The next prime is 12179835604843. The reversal of 12179835604800 is 840653897121.

12179835604800 is a `hidden beast` number, since 1 + 2 + 1 + 79 + 8 + 3 + 560 + 4 + 8 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 359 ways as a sum of consecutive naturals, for example, 63768772705 + ... + 63768772895.

It is a 1-persistent number, because it is pandigital, but 2⋅12179835604800 = 24359671209600 is not.

Almost surely, 2^{12179835604800} is an apocalyptic number.

12179835604800 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 12179835604800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25090509818880).

12179835604800 is an abundant number, since it is smaller than the sum of its proper divisors (38001184032960).

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

12179835604800 is a wasteful number, since it uses less digits than its factorization.

12179835604800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 339 (or 296 counting only the distinct ones).

The product of its (nonzero) digits is 2903040, while the sum is 54.

The spelling of 12179835604800 in words is "twelve trillion, one hundred seventy-nine billion, eight hundred thirty-five million, six hundred four thousand, eight hundred".