12008949760080 has 960 divisors, whose sum is σ = 51236720640000. Its totient is φ = 2531418200064.

The previous prime is 12008949760079. The next prime is 12008949760111. The reversal of 12008949760080 is 8006794980021.

12008949760080 is a `hidden beast` number, since 1 + 20 + 0 + 8 + 9 + 4 + 9 + 7 + 600 + 8 + 0 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 12008949759999 and 12008949760026.

It is a congruent number.

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, 5363531601 + ... + 5363533839.

It is an arithmetic number, because the mean of its divisors is an integer number (53371584000).

Almost surely, 2^{12008949760080} is an apocalyptic number.

12008949760080 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 12008949760080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25618360320000).

12008949760080 is an abundant number, since it is smaller than the sum of its proper divisors (39227770879920).

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

12008949760080 is a wasteful number, since it uses less digits than its factorization.

12008949760080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4393 (or 4368 counting only the distinct ones).

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

The spelling of 12008949760080 in words is "twelve trillion, eight billion, nine hundred forty-nine million, seven hundred sixty thousand, eighty".