12112211100 has 288 divisors, whose sum is σ = 39143494656. Its totient is φ = 2867097600.

The previous prime is 12112211087. The next prime is 12112211123. The reversal of 12112211100 is 111221121.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 33003117 + ... + 33003483.

It is an arithmetic number, because the mean of its divisors is an integer number (135914912).

Almost surely, 2^12112211100 is an apocalyptic number.

12112211100 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 12112211100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19571747328).

12112211100 is an abundant number, since it is smaller than the sum of its proper divisors (27031283556).

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

12112211100 is a wasteful number, since it uses less digits than its factorization.

12112211100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 605 (or 598 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 12112211100 its reverse (111221121), we get a palindrome (12223432221).

It can be divided in two parts, 121 and 12211100, that added together give a palindrome (12211221).

The spelling of 12112211100 in words is "twelve billion, one hundred twelve million, two hundred eleven thousand, one hundred".