12306716881920 has 1056 divisors, whose sum is σ = 46308331060992. Its totient is φ = 3127973511168.

The previous prime is 12306716881891. The next prime is 12306716881933. The reversal of 12306716881920 is 2918861760321.

12306716881920 is a `hidden beast` number, since 1 + 2 + 306 + 71 + 6 + 88 + 192 + 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 pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 10673648064 + ... + 10673649216.

It is an arithmetic number, because the mean of its divisors is an integer number (43852586232).

Almost surely, 2^{12306716881920} is an apocalyptic number.

12306716881920 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 12306716881920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23154165530496).

12306716881920 is an abundant number, since it is smaller than the sum of its proper divisors (34001614179072).

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

12306716881920 is a wasteful number, since it uses less digits than its factorization.

12306716881920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1589 (or 1559 counting only the distinct ones).

The product of its (nonzero) digits is 1741824, while the sum is 54.

The spelling of 12306716881920 in words is "twelve trillion, three hundred six billion, seven hundred sixteen million, eight hundred eighty-one thousand, nine hundred twenty".