12200121300 has 144 divisors (see below), whose sum is σ = 36545772032. Its totient is φ = 3139084800.

The previous prime is 12200121289. The next prime is 12200121317. The reversal of 12200121300 is 312100221.

It is a Harshad number since it is a multiple of its sum of digits (12).

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 47 ways as a sum of consecutive naturals, for example, 3467142 + ... + 3470658.

Almost surely, 2^12200121300 is an apocalyptic number.

12200121300 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 12200121300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18272886016).

12200121300 is an abundant number, since it is smaller than the sum of its proper divisors (24345650732).

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

12200121300 is a wasteful number, since it uses less digits than its factorization.

12200121300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3938 (or 3931 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

Adding to 12200121300 its reverse (312100221), we get a palindrome (12512221521).

The spelling of 12200121300 in words is "twelve billion, two hundred million, one hundred twenty-one thousand, three hundred".