12100220211200 has 312 divisors, whose sum is σ = 33861401347680. Its totient is φ = 4248341708800.

The previous prime is 12100220211199. The next prime is 12100220211239. The reversal of 12100220211200 is 211202200121.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 32480387 + ... + 32850813.

Almost surely, 2^{12100220211200} is an apocalyptic number.

12100220211200 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 12100220211200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16930700673840).

12100220211200 is an abundant number, since it is smaller than the sum of its proper divisors (21761181136480).

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

12100220211200 is a wasteful number, since it uses less digits than its factorization.

12100220211200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 370501 (or 370474 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 12100220211200 its reverse (211202200121), we get a palindrome (12311422411321).

The spelling of 12100220211200 in words is "twelve trillion, one hundred billion, two hundred twenty million, two hundred eleven thousand, two hundred".