6005111232120 has 1024 divisors, whose sum is σ = 24446770790400. Its totient is φ = 1139590840320.

The previous prime is 6005111232101. The next prime is 6005111232163. The reversal of 6005111232120 is 212321115006.

It is a happy number.

It is a super-2 number, since 2×6005111232120² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 7630382367 + ... + 7630383153.

It is an arithmetic number, because the mean of its divisors is an integer number (23873799600).

Almost surely, 2^{6005111232120} is an apocalyptic number.

6005111232120 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 6005111232120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12223385395200).

6005111232120 is an abundant number, since it is smaller than the sum of its proper divisors (18441659558280).

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

6005111232120 is a wasteful number, since it uses less digits than its factorization.

6005111232120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1428 (or 1424 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 24.

Adding to 6005111232120 its reverse (212321115006), we get a palindrome (6217432347126).

The spelling of 6005111232120 in words is "six trillion, five billion, one hundred eleven million, two hundred thirty-two thousand, one hundred twenty".