12200221103300 has 72 divisors (see below), whose sum is σ = 28042283944584. Its totient is φ = 4591306967040.

The previous prime is 12200221103263. The next prime is 12200221103311. The reversal of 12200221103300 is 330112200221.

It can be written as a sum of positive squares in 12 ways, for example, as 6921613762816 + 5278607340484 = 2630896^2 + 2297522^2 .

It is a Harshad number since it is a multiple of its sum of digits (17).

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, 3210482 + ... + 5891318.

It is an arithmetic number, because the mean of its divisors is an integer number (389476165897).

Almost surely, 2^{12200221103300} is an apocalyptic number.

12200221103300 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 12200221103300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14021141972292).

12200221103300 is an abundant number, since it is smaller than the sum of its proper divisors (15842062841284).

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

12200221103300 is a wasteful number, since it uses less digits than its factorization.

12200221103300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2683545 (or 2683538 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 17.

Adding to 12200221103300 its reverse (330112200221), we get a palindrome (12530333303521).

The spelling of 12200221103300 in words is "twelve trillion, two hundred billion, two hundred twenty-one million, one hundred three thousand, three hundred".