12817982661120 has 1920 divisors, whose sum is σ = 57829073702400. Its totient is φ = 2703868231680.

The previous prime is 12817982661089. The next prime is 12817982661137. The reversal of 12817982661120 is 2116628971821.

12817982661120 is a `hidden beast` number, since 1 + 2 + 8 + 17 + 9 + 8 + 2 + 6 + 611 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1920).

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

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 2773852410 + ... + 2773857030.

It is an arithmetic number, because the mean of its divisors is an integer number (30119309220).

Almost surely, 2^{12817982661120} is an apocalyptic number.

12817982661120 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 12817982661120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28914536851200).

12817982661120 is an abundant number, since it is smaller than the sum of its proper divisors (45011091041280).

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

12817982661120 is an frugal number, since it uses more digits than its factorization.

12817982661120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4693 (or 4651 counting only the distinct ones).

The product of its (nonzero) digits is 1161216, while the sum is 54.

The spelling of 12817982661120 in words is "twelve trillion, eight hundred seventeen billion, nine hundred eighty-two million, six hundred sixty-one thousand, one hundred twenty".