12117720384000 has 2880 divisors, whose sum is σ = 57829390324992. Its totient is φ = 2407071744000.

The previous prime is 12117720383983. The next prime is 12117720384041. The reversal of 12117720384000 is 48302771121.

12117720384000 is a `hidden beast` number, since 1 + 211 + 7 + 7 + 2 + 0 + 38 + 400 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2880).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 7140671152 + ... + 7140672848.

Almost surely, 2^{12117720384000} is an apocalyptic number.

12117720384000 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 12117720384000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28914695162496).

12117720384000 is an abundant number, since it is smaller than the sum of its proper divisors (45711669940992).

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

12117720384000 is a wasteful number, since it uses less digits than its factorization.

12117720384000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1784 (or 1748 counting only the distinct ones).

The product of its (nonzero) digits is 18816, while the sum is 36.

The spelling of 12117720384000 in words is "twelve trillion, one hundred seventeen billion, seven hundred twenty million, three hundred eighty-four thousand".