12112110212100 has 144 divisors (see below), whose sum is σ = 37552865087808. Its totient is φ = 3003276738560.

The previous prime is 12112110212089. The next prime is 12112110212101. The reversal of 12112110212100 is 121201121121.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 12112110212100.

It is not an unprimeable number, because it can be changed into a prime (12112110212101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 13883469 + ... + 14730068.

It is an arithmetic number, because the mean of its divisors is an integer number (260783785332).

Almost surely, 2^{12112110212100} is an apocalyptic number.

12112110212100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12112110212100 is an abundant number, since it is smaller than the sum of its proper divisors (25440754875708).

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

12112110212100 is a wasteful number, since it uses less digits than its factorization.

12112110212100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28613654 (or 28613647 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 15.

Adding to 12112110212100 its reverse (121201121121), we get a palindrome (12233311333221).

The spelling of 12112110212100 in words is "twelve trillion, one hundred twelve billion, one hundred ten million, two hundred twelve thousand, one hundred".