6241121128 has 128 divisors (see below), whose sum is σ = 13483008000. Its totient is φ = 2682720000.

The previous prime is 6241121123. The next prime is 6241121153. The reversal of 6241121128 is 8211211426.

It is a junction number, because it is equal to n+sod(n) for n = 6241121096 and 6241121105.

It is not an unprimeable number, because it can be changed into a prime (6241121123) 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 31 ways as a sum of consecutive naturals, for example, 41331853 + ... + 41332003.

It is an arithmetic number, because the mean of its divisors is an integer number (105336000).

Almost surely, 2^6241121128 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6241121128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6741504000).

6241121128 is an abundant number, since it is smaller than the sum of its proper divisors (7241886872).

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

6241121128 is a wasteful number, since it uses less digits than its factorization.

6241121128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 447 (or 443 counting only the distinct ones).

The product of its digits is 1536, while the sum is 28.

The square root of 6241121128 is about 79000.7666291916. The cubic root of 6241121128 is about 1841.1430680971.

The spelling of 6241121128 in words is "six billion, two hundred forty-one million, one hundred twenty-one thousand, one hundred twenty-eight".