12212100221200 has 240 divisors, whose sum is σ = 32714066165760. Its totient is φ = 4342787136000.

The previous prime is 12212100221179. The next prime is 12212100221219. The reversal of 12212100221200 is 212200121221.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 264474115 + ... + 264520285.

It is an arithmetic number, because the mean of its divisors is an integer number (136308609024).

Almost surely, 2^{12212100221200} is an apocalyptic number.

12212100221200 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 12212100221200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16357033082880).

12212100221200 is an abundant number, since it is smaller than the sum of its proper divisors (20501965944560).

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

12212100221200 is a wasteful number, since it uses less digits than its factorization.

12212100221200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 47526 (or 47515 counting only the distinct ones).

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

Adding to 12212100221200 its reverse (212200121221), we get a palindrome (12424300342421).

The spelling of 12212100221200 in words is "twelve trillion, two hundred twelve billion, one hundred million, two hundred twenty-one thousand, two hundred".