12080973104640 has 640 divisors, whose sum is σ = 46858768704000. Its totient is φ = 2925906001920.

The previous prime is 12080973104633. The next prime is 12080973104689. The reversal of 12080973104640 is 4640137908021.

12080973104640 is a `hidden beast` number, since 1 + 20 + 80 + 97 + 3 + 1 + 0 + 464 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (640).

It is a super-2 number, since 2×12080973104640² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 853832286 + ... + 853846434.

It is an arithmetic number, because the mean of its divisors is an integer number (73216826100).

Almost surely, 2^{12080973104640} is an apocalyptic number.

12080973104640 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 12080973104640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23429384352000).

12080973104640 is an abundant number, since it is smaller than the sum of its proper divisors (34777795599360).

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

12080973104640 is a wasteful number, since it uses less digits than its factorization.

12080973104640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15315 (or 15293 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The spelling of 12080973104640 in words is "twelve trillion, eighty billion, nine hundred seventy-three million, one hundred four thousand, six hundred forty".