6041211120 has 640 divisors, whose sum is σ = 26526873600. Its totient is φ = 1230225408.

The previous prime is 6041211107. The next prime is 6041211167. The reversal of 6041211120 is 211121406.

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

It is a junction number, because it is equal to n+sod(n) for n = 6041211093 and 6041211102.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 4883142 + ... + 4884378.

It is an arithmetic number, because the mean of its divisors is an integer number (41448240).

Almost surely, 2^6041211120 is an apocalyptic number.

6041211120 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 6041211120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13263436800).

6041211120 is an abundant number, since it is smaller than the sum of its proper divisors (20485662480).

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

6041211120 is a wasteful number, since it uses less digits than its factorization.

6041211120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1302 (or 1290 counting only the distinct ones).

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

The square root of 6041211120 is about 77725.2283367505. The cubic root of 6041211120 is about 1821.2714136673.

Adding to 6041211120 its reverse (211121406), we get a palindrome (6252332526).

The spelling of 6041211120 in words is "six billion, forty-one million, two hundred eleven thousand, one hundred twenty".