12000471406560 has 1152 divisors, whose sum is σ = 53139923665920. Its totient is φ = 2394854719488.

The previous prime is 12000471406543. The next prime is 12000471406619. The reversal of 12000471406560 is 6560417400021.

12000471406560 is a `hidden beast` number, since 1 + 20 + 0 + 0 + 4 + 71 + 4 + 0 + 6 + 560 = 666.

It is a super-2 number, since 2×12000471406560² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1700502552 + ... + 1700509608.

It is an arithmetic number, because the mean of its divisors is an integer number (46128405960).

Almost surely, 2^{12000471406560} is an apocalyptic number.

12000471406560 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 12000471406560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26569961832960).

12000471406560 is an abundant number, since it is smaller than the sum of its proper divisors (41139452259360).

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

12000471406560 is a wasteful number, since it uses less digits than its factorization.

12000471406560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7800 (or 7789 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

Adding to 12000471406560 its reverse (6560417400021), we get a palindrome (18560888806581).

The spelling of 12000471406560 in words is "twelve trillion, four hundred seventy-one million, four hundred six thousand, five hundred sixty".