12078604841800 has 192 divisors, whose sum is σ = 32728531489920. Its totient is φ = 4060233768960.

The previous prime is 12078604841777. The next prime is 12078604841837. The reversal of 12078604841800 is 814840687021.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 14114974 + ... + 14946226.

It is an arithmetic number, because the mean of its divisors is an integer number (170461101510).

Almost surely, 2^{12078604841800} is an apocalyptic number.

12078604841800 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 12078604841800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16364265744960).

12078604841800 is an abundant number, since it is smaller than the sum of its proper divisors (20649926648120).

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

12078604841800 is a wasteful number, since it uses less digits than its factorization.

12078604841800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 831480 (or 831471 counting only the distinct ones).

The product of its (nonzero) digits is 688128, while the sum is 49.

The spelling of 12078604841800 in words is "twelve trillion, seventy-eight billion, six hundred four million, eight hundred forty-one thousand, eight hundred".