12211122100 has 72 divisors (see below), whose sum is σ = 28079327808. Its totient is φ = 4593446400.

The previous prime is 12211122097. The next prime is 12211122101. The reversal of 12211122100 is 122111221.

It is a super-2 number, since 2×12211122100² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12211122101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3110739 + ... + 3114661.

It is an arithmetic number, because the mean of its divisors is an integer number (389990664).

Almost surely, 2^12211122100 is an apocalyptic number.

12211122100 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 12211122100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14039663904).

12211122100 is an abundant number, since it is smaller than the sum of its proper divisors (15868205708).

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

12211122100 is a wasteful number, since it uses less digits than its factorization.

12211122100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5785 (or 5778 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 12211122100 its reverse (122111221), we get a palindrome (12333233321).

12211122100 divided by its reverse (122111221) gives a square (100 = 10²).

The spelling of 12211122100 in words is "twelve billion, two hundred eleven million, one hundred twenty-two thousand, one hundred".