12112849182720 has 3584 divisors, whose sum is σ = 52735087190016. Its totient is φ = 2325322137600.

The previous prime is 12112849182689. The next prime is 12112849182767. The reversal of 12112849182720 is 2728194821121.

It is a super-2 number, since 2×12112849182720² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 12112849182720.

It is an unprimeable number.

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 255 ways as a sum of consecutive naturals, for example, 281694167019 + ... + 281694167061.

It is an arithmetic number, because the mean of its divisors is an integer number (14714031024).

Almost surely, 2^{12112849182720} is an apocalyptic number.

12112849182720 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 12112849182720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26367543595008).

12112849182720 is an abundant number, since it is smaller than the sum of its proper divisors (40622238007296).

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

12112849182720 is a wasteful number, since it uses less digits than its factorization.

12112849182720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 182 (or 158 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 48.

The spelling of 12112849182720 in words is "twelve trillion, one hundred twelve billion, eight hundred forty-nine million, one hundred eighty-two thousand, seven hundred twenty".