6005111112 has 288 divisors, whose sum is σ = 22228577280. Its totient is φ = 1439665920.

The previous prime is 6005111071. The next prime is 6005111117. The reversal of 6005111112 is 2111115006.

It is a happy number.

6005111112 is a `hidden beast` number, since 600 + 51 + 1 + 1 + 1 + 12 = 666.

It is a super-2 number, since 2×6005111112² = 72122718934931753088, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (6005111117) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 498553 + ... + 510455.

It is an arithmetic number, because the mean of its divisors is an integer number (77182560).

Almost surely, 2^6005111112 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 6005111112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11114288640).

6005111112 is an abundant number, since it is smaller than the sum of its proper divisors (16223466168).

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

6005111112 is a wasteful number, since it uses less digits than its factorization.

6005111112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11953 (or 11939 counting only the distinct ones).

The product of its (nonzero) digits is 60, while the sum is 18.

The square root of 6005111112 is about 77492.6519871400. The cubic root of 6005111112 is about 1817.6364189944.

Adding to 6005111112 its reverse (2111115006), we get a palindrome (8116226118).

The spelling of 6005111112 in words is "six billion, five million, one hundred eleven thousand, one hundred twelve".