180005112 has 256 divisors, whose sum is σ = 622080000. Its totient is φ = 47056896.

The previous prime is 180005099. The next prime is 180005123. The reversal of 180005112 is 211500081.

It is a super-2 number, since 2×180005112² = 64803680692265088, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1208014 + ... + 1208162.

It is an arithmetic number, because the mean of its divisors is an integer number (2430000).

Almost surely, 2^180005112 is an apocalyptic number.

180005112 is a gapful number since it is divisible by the number (12) 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 180005112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (311040000).

180005112 is an abundant number, since it is smaller than the sum of its proper divisors (442074888).

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

180005112 is a wasteful number, since it uses less digits than its factorization.

180005112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 235 (or 225 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 18.

The square root of 180005112 is about 13416.5983766378. The cubic root of 180005112 is about 564.6269623627.

Adding to 180005112 its reverse (211500081), we get a palindrome (391505193).

It can be divided in two parts, 1800051 and 12, that multiplied together give a palindrome (21600612).

The spelling of 180005112 in words is "one hundred eighty million, five thousand, one hundred twelve".