12205152 has 36 divisors (see below), whose sum is σ = 34709220. Its totient is φ = 4068288.

The previous prime is 12205121. The next prime is 12205159. The reversal of 12205152 is 25150221.

It is a tau number, because it is divible by the number of its divisors (36).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12205159) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 20902 + ... + 21477.

It is an arithmetic number, because the mean of its divisors is an integer number (964145).

Almost surely, 2^12205152 is an apocalyptic number.

12205152 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

12205152 is an abundant number, since it is smaller than the sum of its proper divisors (22504068).

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

12205152 is a wasteful number, since it uses less digits than its factorization.

12205152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42395 (or 42384 counting only the distinct ones).

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

The square root of 12205152 is about 3493.5872681243. The cubic root of 12205152 is about 230.2401524363.

Adding to 12205152 its reverse (25150221), we get a palindrome (37355373).

The spelling of 12205152 in words is "twelve million, two hundred five thousand, one hundred fifty-two".