12211103231100 has 216 divisors, whose sum is σ = 38406850241760. Its totient is φ = 3245096448000.

The previous prime is 12211103231083. The next prime is 12211103231137. The reversal of 12211103231100 is 113230111221.

12211103231100 is a `hidden beast` number, since 1 + 221 + 1 + 10 + 323 + 110 + 0 = 666.

It is a super-2 number, since 2×12211103231100² (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 a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 348065560 + ... + 348100640.

It is an arithmetic number, because the mean of its divisors is an integer number (177809491860).

Almost surely, 2^{12211103231100} is an apocalyptic number.

12211103231100 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 12211103231100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19203425120880).

12211103231100 is an abundant number, since it is smaller than the sum of its proper divisors (26195747010660).

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

12211103231100 is a wasteful number, since it uses less digits than its factorization.

12211103231100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36421 (or 36411 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

Adding to 12211103231100 its reverse (113230111221), we get a palindrome (12324333342321).

The spelling of 12211103231100 in words is "twelve trillion, two hundred eleven billion, one hundred three million, two hundred thirty-one thousand, one hundred".