12005170543520 has 1152 divisors, whose sum is σ = 40260046159872. Its totient is φ = 3328354713600.

The previous prime is 12005170543507. The next prime is 12005170543637. The reversal of 12005170543520 is 2534507150021.

It is a Harshad number since it is a multiple of its sum of digits (35).

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, 1954281569 + ... + 1954287711.

It is an arithmetic number, because the mean of its divisors is an integer number (34947956736).

Almost surely, 2^{12005170543520} is an apocalyptic number.

12005170543520 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 12005170543520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20130023079936).

12005170543520 is an abundant number, since it is smaller than the sum of its proper divisors (28254875616352).

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

12005170543520 is a wasteful number, since it uses less digits than its factorization.

12005170543520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6274 (or 6259 counting only the distinct ones).

The product of its (nonzero) digits is 42000, while the sum is 35.

Adding to 12005170543520 its reverse (2534507150021), we get a palindrome (14539677693541).

The spelling of 12005170543520 in words is "twelve trillion, five billion, one hundred seventy million, five hundred forty-three thousand, five hundred twenty".