12004670386800 has 1080 divisors, whose sum is σ = 54935857682160. Its totient is φ = 2399536742400.

The previous prime is 12004670386799. The next prime is 12004670386829. The reversal of 12004670386800 is 868307640021.

12004670386800 is a `hidden beast` number, since 1 + 200 + 4 + 67 + 0 + 386 + 8 + 0 + 0 = 666.

It is a super-2 number, since 2×12004670386800² (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 215 ways as a sum of consecutive naturals, for example, 43433040 + ... + 43708560.

Almost surely, 2^{12004670386800} is an apocalyptic number.

12004670386800 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 12004670386800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27467928841080).

12004670386800 is an abundant number, since it is smaller than the sum of its proper divisors (42931187295360).

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

12004670386800 is a wasteful number, since it uses less digits than its factorization.

12004670386800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 275591 (or 275570 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The spelling of 12004670386800 in words is "twelve trillion, four billion, six hundred seventy million, three hundred eighty-six thousand, eight hundred".