12005670734640 has 480 divisors, whose sum is σ = 44325303998976. Its totient is φ = 2887970365440.

The previous prime is 12005670734623. The next prime is 12005670734641. The reversal of 12005670734640 is 4643707650021.

12005670734640 is a `hidden beast` number, since 1 + 2 + 0 + 0 + 56 + 70 + 73 + 464 + 0 = 666.

It is a super-3 number, since 3×12005670734640³ (a number of 40 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (12005670734641) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 784317867 + ... + 784333173.

Almost surely, 2^{12005670734640} is an apocalyptic number.

12005670734640 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 12005670734640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22162651999488).

12005670734640 is an abundant number, since it is smaller than the sum of its proper divisors (32319633264336).

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

12005670734640 is a wasteful number, since it uses less digits than its factorization.

12005670734640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16097 (or 16088 counting only the distinct ones).

The product of its (nonzero) digits is 846720, while the sum is 45.

The spelling of 12005670734640 in words is "twelve trillion, five billion, six hundred seventy million, seven hundred thirty-four thousand, six hundred forty".