12211121212200 has 96 divisors (see below), whose sum is σ = 42060528638400. Its totient is φ = 3256298988480.

The previous prime is 12211121212193. The next prime is 12211121212207. The reversal of 12211121212200 is 221212111221.

12211121212200 is a `hidden beast` number, since 1 + 221 + 11 + 21 + 212 + 200 = 666.

12211121212200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (12211121212193) and next prime (12211121212207).

It is a super-2 number, since 2×12211121212200² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (12211121212207) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1130653972 + ... + 1130664771.

It is an arithmetic number, because the mean of its divisors is an integer number (438130506650).

Almost surely, 2^{12211121212200} is an apocalyptic number.

12211121212200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12211121212200 is an abundant number, since it is smaller than the sum of its proper divisors (29849407426200).

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

12211121212200 is a wasteful number, since it uses less digits than its factorization.

12211121212200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2261318768 (or 2261318753 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 12211121212200 its reverse (221212111221), we get a palindrome (12432333323421).

The spelling of 12211121212200 in words is "twelve trillion, two hundred eleven billion, one hundred twenty-one million, two hundred twelve thousand, two hundred".