6001128000 has 896 divisors, whose sum is σ = 25993344000. Its totient is φ = 1371686400.

The previous prime is 6001127983. The next prime is 6001128041. The reversal of 6001128000 is 8211006.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It is an ABA number since it can be written as A⋅B^A, here for A=3, B=1260.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 857303997 + ... + 857304003.

Almost surely, 2^6001128000 is an apocalyptic number.

6001128000 is a gapful number since it is divisible by the number (60) 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 6001128000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12996672000).

6001128000 is an abundant number, since it is smaller than the sum of its proper divisors (19992216000).

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

6001128000 is an frugal number, since it uses more digits than its factorization.

6001128000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 69 (or 17 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

The square root of 6001128000 is about 77466.9477906546. The cubic root of 6001128000 is about 1817.2344585873.

Adding to 6001128000 its reverse (8211006), we get a palindrome (6009339006).

The spelling of 6001128000 in words is "six billion, one million, one hundred twenty-eight thousand".