12112120112010 has 128 divisors (see below), whose sum is σ = 29635882214400. Its totient is φ = 3167206686720.

The previous prime is 12112120112009. The next prime is 12112120112017. The reversal of 12112120112010 is 1021102121121.

It is a happy number.

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

It is not an unprimeable number, because it can be changed into a prime (12112120112017) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1234540005 + ... + 1234549815.

It is an arithmetic number, because the mean of its divisors is an integer number (231530329800).

Almost surely, 2^{12112120112010} is an apocalyptic number.

12112120112010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 12112120112010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14817941107200).

12112120112010 is an abundant number, since it is smaller than the sum of its proper divisors (17523762102390).

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

12112120112010 is a wasteful number, since it uses less digits than its factorization.

12112120112010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11556.

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

Adding to 12112120112010 its reverse (1021102121121), we get a palindrome (13133222233131).

The spelling of 12112120112010 in words is "twelve trillion, one hundred twelve billion, one hundred twenty million, one hundred twelve thousand, ten".