12211132200 has 192 divisors, whose sum is σ = 38986522560. Its totient is φ = 3159429120.

The previous prime is 12211132177. The next prime is 12211132201. The reversal of 12211132200 is 223111221.

It is a super-2 number, since 2×12211132200² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 12211132200.

It is not an unprimeable number, because it can be changed into a prime (12211132201) by changing a digit.

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, 12498112 + ... + 12499088.

It is an arithmetic number, because the mean of its divisors is an integer number (203054805).

Almost surely, 2^12211132200 is an apocalyptic number.

12211132200 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 12211132200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19493261280).

12211132200 is an abundant number, since it is smaller than the sum of its proper divisors (26775390360).

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

12211132200 is a wasteful number, since it uses less digits than its factorization.

12211132200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1596 (or 1587 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

Adding to 12211132200 its reverse (223111221), we get a palindrome (12434243421).

The spelling of 12211132200 in words is "twelve billion, two hundred eleven million, one hundred thirty-two thousand, two hundred".