12112116480 has 432 divisors, whose sum is σ = 46318184640. Its totient is φ = 2906652672.

The previous prime is 12112116479. The next prime is 12112116487. The reversal of 12112116480 is 8461121121.

It is a happy number.

12112116480 is a `hidden beast` number, since 1 + 2 + 1 + 1 + 2 + 11 + 648 + 0 = 666.

It is not an unprimeable number, because it can be changed into a prime (12112116487) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4502976 + ... + 4505664.

It is an arithmetic number, because the mean of its divisors is an integer number (107218020).

Almost surely, 2^12112116480 is an apocalyptic number.

12112116480 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 12112116480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23159092320).

12112116480 is an abundant number, since it is smaller than the sum of its proper divisors (34206068160).

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

12112116480 is a wasteful number, since it uses less digits than its factorization.

12112116480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2756 (or 2739 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 27.

The spelling of 12112116480 in words is "twelve billion, one hundred twelve million, one hundred sixteen thousand, four hundred eighty".