12008848128480 has 288 divisors, whose sum is σ = 47718179780544. Its totient is φ = 2693089271808.

The previous prime is 12008848128469. The next prime is 12008848128491. The reversal of 12008848128480 is 8482184880021.

It is a happy number.

12008848128480 is a `hidden beast` number, since 1 + 2 + 0 + 0 + 8 + 8 + 481 + 2 + 84 + 80 = 666.

It is an interprime number because it is at equal distance from previous prime (12008848128469) and next prime (12008848128491).

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×12008848128480² (a number of 27 digits) contains 22 as substring.

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 47 ways as a sum of consecutive naturals, for example, 10704949 + ... + 11773428.

It is an arithmetic number, because the mean of its divisors is an integer number (165688124238).

Almost surely, 2^{12008848128480} is an apocalyptic number.

12008848128480 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12008848128480 is an abundant number, since it is smaller than the sum of its proper divisors (35709331652064).

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

12008848128480 is a wasteful number, since it uses less digits than its factorization.

12008848128480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22478458 (or 22478447 counting only the distinct ones).

The product of its (nonzero) digits is 2097152, while the sum is 54.

The spelling of 12008848128480 in words is "twelve trillion, eight billion, eight hundred forty-eight million, one hundred twenty-eight thousand, four hundred eighty".