12205512 has 96 divisors (see below), whose sum is σ = 37346400. Its totient is φ = 3690720.

The previous prime is 12205511. The next prime is 12205553. The reversal of 12205512 is 21550221.

It is a super-3 number, since 3×12205512³ (a number of 22 digits) contains 333 as substring.

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

It is a plaindrome in base 15.

It is not an unprimeable number, because it can be changed into a prime (12205511) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 25903 + ... + 26369.

It is an arithmetic number, because the mean of its divisors is an integer number (389025).

Almost surely, 2^12205512 is an apocalyptic number.

12205512 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 12205512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18673200).

12205512 is an abundant number, since it is smaller than the sum of its proper divisors (25140888).

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

12205512 is a wasteful number, since it uses less digits than its factorization.

12205512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 504 (or 483 counting only the distinct ones).

The product of its (nonzero) digits is 200, while the sum is 18.

The square root of 12205512 is about 3493.6387907166. The cubic root of 12205512 is about 230.2424161154.

Adding to 12205512 its reverse (21550221), we get a palindrome (33755733).

The spelling of 12205512 in words is "twelve million, two hundred five thousand, five hundred twelve".