12100212122200 has 96 divisors (see below), whose sum is σ = 28415944834560. Its totient is φ = 4791468816000.

The previous prime is 12100212122189. The next prime is 12100212122213. The reversal of 12100212122200 is 222121200121.

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 (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 30253525 + ... + 30650875.

It is an arithmetic number, because the mean of its divisors is an integer number (295999425360).

Almost surely, 2^{12100212122200} is an apocalyptic number.

12100212122200 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 12100212122200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14207972417280).

12100212122200 is an abundant number, since it is smaller than the sum of its proper divisors (16315732712360).

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

12100212122200 is a wasteful number, since it uses less digits than its factorization.

12100212122200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 398897 (or 398888 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 12100212122200 its reverse (222121200121), we get a palindrome (12322333322321).

The spelling of 12100212122200 in words is "twelve trillion, one hundred billion, two hundred twelve million, one hundred twenty-two thousand, two hundred".