12917789280000 has 3600 divisors, whose sum is σ = 56371827240960. Its totient is φ = 2911334400000.

The previous prime is 12917789279981. The next prime is 12917789280029. The reversal of 12917789280000 is 8298771921.

12917789280000 is a `hidden beast` number, since 1 + 291 + 7 + 78 + 9 + 280 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3600).

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 pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 399 ways as a sum of consecutive naturals, for example, 163516319961 + ... + 163516320039.

Almost surely, 2^{12917789280000} is an apocalyptic number.

12917789280000 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 12917789280000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28185913620480).

12917789280000 is an abundant number, since it is smaller than the sum of its proper divisors (43454037960960).

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

12917789280000 is an equidigital number, since it uses as much as digits as its factorization.

12917789280000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 206 (or 168 counting only the distinct ones).

The product of its (nonzero) digits is 1016064, while the sum is 54.

The spelling of 12917789280000 in words is "twelve trillion, nine hundred seventeen billion, seven hundred eighty-nine million, two hundred eighty thousand".