12112100002120 has 128 divisors (see below), whose sum is σ = 28742138496000. Its totient is φ = 4580960762880.

The previous prime is 12112100002117. The next prime is 12112100002129. The reversal of 12112100002120 is 2120000121121.

It is a super-2 number, since 2×12112100002120² (a number of 27 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 12112100002120.

It is not an unprimeable number, because it can be changed into a prime (12112100002129) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2302240290 + ... + 2302245550.

It is an arithmetic number, because the mean of its divisors is an integer number (224547957000).

Almost surely, 2^{12112100002120} is an apocalyptic number.

12112100002120 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 12112100002120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14371069248000).

12112100002120 is an abundant number, since it is smaller than the sum of its proper divisors (16630038493880).

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

12112100002120 is a wasteful number, since it uses less digits than its factorization.

12112100002120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10583 (or 10579 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 12112100002120 its reverse (2120000121121), we get a palindrome (14232100123241).

The spelling of 12112100002120 in words is "twelve trillion, one hundred twelve billion, one hundred million, two thousand, one hundred twenty".