180118512 has 240 divisors, whose sum is σ = 615198720. Its totient is φ = 50295168.

The previous prime is 180118511. The next prime is 180118517. The reversal of 180118512 is 215811081.

180118512 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (180118511) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1418193 + ... + 1418319.

It is an arithmetic number, because the mean of its divisors is an integer number (2563328).

Almost surely, 2^180118512 is an apocalyptic number.

180118512 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 180118512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (307599360).

180118512 is an abundant number, since it is smaller than the sum of its proper divisors (435080208).

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

180118512 is a wasteful number, since it uses less digits than its factorization.

180118512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 225 (or 206 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 27.

The square root of 180118512 is about 13420.8238197214. The cubic root of 180118512 is about 564.7455057675.

Adding to 180118512 its reverse (215811081), we get a palindrome (395929593).

The spelling of 180118512 in words is "one hundred eighty million, one hundred eighteen thousand, five hundred twelve".