12205155200 has 144 divisors (see below), whose sum is σ = 35073536400. Its totient is φ = 4184570880.

The previous prime is 12205155181. The next prime is 12205155203. The reversal of 12205155200 is 255150221.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12205155203) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 117881 + ... + 195719.

It is an arithmetic number, because the mean of its divisors is an integer number (243566225).

Almost surely, 2^12205155200 is an apocalyptic number.

12205155200 is a gapful number since it is divisible by the number (10) 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 12205155200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17536768200).

12205155200 is an abundant number, since it is smaller than the sum of its proper divisors (22868381200).

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

12205155200 is an equidigital number, since it uses as much as digits as its factorization.

12205155200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 77877 (or 77853 counting only the distinct ones).

The product of its (nonzero) digits is 1000, while the sum is 23.

The spelling of 12205155200 in words is "twelve billion, two hundred five million, one hundred fifty-five thousand, two hundred".