12104977711680 has 1120 divisors, whose sum is σ = 49944510443520. Its totient is φ = 2725800284160.

The previous prime is 12104977711669. The next prime is 12104977711741. The reversal of 12104977711680 is 8611777940121.

12104977711680 is a `hidden beast` number, since 1 + 2 + 1 + 0 + 497 + 7 + 71 + 1 + 6 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (1120).

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 159 ways as a sum of consecutive naturals, for example, 6611128365 + ... + 6611130195.

It is an arithmetic number, because the mean of its divisors is an integer number (44593312896).

Almost surely, 2^{12104977711680} is an apocalyptic number.

12104977711680 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 12104977711680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24972255221760).

12104977711680 is an abundant number, since it is smaller than the sum of its proper divisors (37839532731840).

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

12104977711680 is a wasteful number, since it uses less digits than its factorization.

12104977711680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2389 (or 2370 counting only the distinct ones).

The product of its (nonzero) digits is 1185408, while the sum is 54.

The spelling of 12104977711680 in words is "twelve trillion, one hundred four billion, nine hundred seventy-seven million, seven hundred eleven thousand, six hundred eighty".