12112889716512 has 576 divisors, whose sum is σ = 39978749905920. Its totient is φ = 3606706621440.

The previous prime is 12112889716489. The next prime is 12112889716547. The reversal of 12112889716512 is 21561798821121.

12112889716512 is a `hidden beast` number, since 1 + 2 + 1 + 1 + 28 + 8 + 97 + 16 + 512 = 666.

It is a super-2 number, since 2×12112889716512² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 366629658 + ... + 366662694.

It is an arithmetic number, because the mean of its divisors is an integer number (69407551920).

Almost surely, 2^{12112889716512} is an apocalyptic number.

12112889716512 is a gapful number since it is divisible by the number (12) 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 12112889716512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19989374952960).

12112889716512 is an abundant number, since it is smaller than the sum of its proper divisors (27865860189408).

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

12112889716512 is an equidigital number, since it uses as much as digits as its factorization.

12112889716512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33125 (or 33086 counting only the distinct ones).

The product of its digits is 967680, while the sum is 54.

The spelling of 12112889716512 in words is "twelve trillion, one hundred twelve billion, eight hundred eighty-nine million, seven hundred sixteen thousand, five hundred twelve".