12211131100 has 216 divisors, whose sum is σ = 31737031200. Its totient is φ = 3993300480.

The previous prime is 12211131073. The next prime is 12211131103. The reversal of 12211131100 is 113111221.

It is a happy number.

It is a super-2 number, since 2×12211131100² (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 (12211131103) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 81953826 + ... + 81953974.

It is an arithmetic number, because the mean of its divisors is an integer number (146930700).

Almost surely, 2^12211131100 is an apocalyptic number.

12211131100 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 12211131100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15868515600).

12211131100 is an abundant number, since it is smaller than the sum of its proper divisors (19525900100).

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

12211131100 is a wasteful number, since it uses less digits than its factorization.

12211131100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 317 (or 263 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 13.

Adding to 12211131100 its reverse (113111221), we get a palindrome (12324242321).

It can be divided in two parts, 12 and 211131100, that added together give a palindrome (211131112).

The spelling of 12211131100 in words is "twelve billion, two hundred eleven million, one hundred thirty-one thousand, one hundred".