12211122211100 has 72 divisors (see below), whose sum is σ = 27411488552448. Its totient is φ = 4716763646400.

The previous prime is 12211122211051. The next prime is 12211122211103. The reversal of 12211122211100 is 111222111221.

It is a super-2 number, since 2×12211122211100² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12211122211103) 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, 2769722 + ... + 5665121.

It is an arithmetic number, because the mean of its divisors is an integer number (380715118784).

Almost surely, 2^{12211122211100} is an apocalyptic number.

12211122211100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12211122211100 is an abundant number, since it is smaller than the sum of its proper divisors (15200366341348).

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

12211122211100 is a wasteful number, since it uses less digits than its factorization.

12211122211100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8435355 (or 8435348 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 17.

Adding to 12211122211100 its reverse (111222111221), we get a palindrome (12322344322321).

The spelling of 12211122211100 in words is "twelve trillion, two hundred eleven billion, one hundred twenty-two million, two hundred eleven thousand, one hundred".