12047217817600 has 576 divisors, whose sum is σ = 35343437875200. Its totient is φ = 3985293312000.

The previous prime is 12047217817567. The next prime is 12047217817681. The reversal of 12047217817600 is 671871274021.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4210840170 + ... + 4210843030.

It is an arithmetic number, because the mean of its divisors is an integer number (61360135200).

Almost surely, 2^{12047217817600} is an apocalyptic number.

12047217817600 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 12047217817600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17671718937600).

12047217817600 is an abundant number, since it is smaller than the sum of its proper divisors (23296220057600).

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

12047217817600 is a wasteful number, since it uses less digits than its factorization.

12047217817600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3310 (or 3285 counting only the distinct ones).

The product of its (nonzero) digits is 263424, while the sum is 46.

The spelling of 12047217817600 in words is "twelve trillion, forty-seven billion, two hundred seventeen million, eight hundred seventeen thousand, six hundred".