12661440200 has 96 divisors (see below), whose sum is σ = 32524882560. Its totient is φ = 4559385600.

The previous prime is 12661440199. The next prime is 12661440203. The reversal of 12661440200 is 204416621.

It is a self number, because there is not a number n which added to its sum of digits gives 12661440200.

It is not an unprimeable number, because it can be changed into a prime (12661440203) 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 23 ways as a sum of consecutive naturals, for example, 2756 + ... + 159155.

It is an arithmetic number, because the mean of its divisors is an integer number (338800860).

Almost surely, 2^12661440200 is an apocalyptic number.

12661440200 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 12661440200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16262441280).

12661440200 is an abundant number, since it is smaller than the sum of its proper divisors (19863442360).

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

12661440200 is a wasteful number, since it uses less digits than its factorization.

12661440200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 161967 (or 161958 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 26.

Adding to 12661440200 its reverse (204416621), we get a palindrome (12865856821).

The spelling of 12661440200 in words is "twelve billion, six hundred sixty-one million, four hundred forty thousand, two hundred".