12039868684800 has 2880 divisors, whose sum is σ = 52707432222720. Its totient is φ = 2666483712000.

The previous prime is 12039868684783. The next prime is 12039868684801. The reversal of 12039868684800 is 848686893021.

12039868684800 is a `hidden beast` number, since 1 + 2 + 0 + 3 + 98 + 6 + 8 + 68 + 480 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2880).

It is not an unprimeable number, because it can be changed into a prime (12039868684801) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 42543705459 + ... + 42543705741.

It is an arithmetic number, because the mean of its divisors is an integer number (18301191744).

Almost surely, 2^{12039868684800} is an apocalyptic number.

12039868684800 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 12039868684800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26353716111360).

12039868684800 is an abundant number, since it is smaller than the sum of its proper divisors (40667563537920).

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

12039868684800 is a wasteful number, since it uses less digits than its factorization.

12039868684800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 400 (or 354 counting only the distinct ones).

The product of its (nonzero) digits is 31850496, while the sum is 63.

The spelling of 12039868684800 in words is "twelve trillion, thirty-nine billion, eight hundred sixty-eight million, six hundred eighty-four thousand, eight hundred".