12200010102200 has 96 divisors (see below), whose sum is σ = 28771628988960. Its totient is φ = 4810084339200.

The previous prime is 12200010102199. The next prime is 12200010102227. The reversal of 12200010102200 is 220101000221.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

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, 58584662 + ... + 58792538.

It is an arithmetic number, because the mean of its divisors is an integer number (299704468635).

Almost surely, 2^{12200010102200} is an apocalyptic number.

12200010102200 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 12200010102200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14385814494480).

12200010102200 is an abundant number, since it is smaller than the sum of its proper divisors (16571618886760).

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

12200010102200 is a wasteful number, since it uses less digits than its factorization.

12200010102200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 212097 (or 212088 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

Adding to 12200010102200 its reverse (220101000221), we get a palindrome (12420111102421).

The spelling of 12200010102200 in words is "twelve trillion, two hundred billion, ten million, one hundred two thousand, two hundred".