12112357275648 has 960 divisors, whose sum is σ = 45417468096000. Its totient is φ = 3135856508928.

The previous prime is 12112357275593. The next prime is 12112357275653. The reversal of 12112357275648 is 84657275321121.

12112357275648 is a `hidden beast` number, since 1 + 2 + 1 + 1 + 2 + 3 + 5 + 72 + 7 + 564 + 8 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 12112357275594 and 12112357275603.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 507439458 + ... + 507463326.

It is an arithmetic number, because the mean of its divisors is an integer number (47309862600).

Almost surely, 2^{12112357275648} is an apocalyptic number.

12112357275648 is a gapful number since it is divisible by the number (18) 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 12112357275648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22708734048000).

12112357275648 is an abundant number, since it is smaller than the sum of its proper divisors (33305110820352).

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

12112357275648 is a wasteful number, since it uses less digits than its factorization.

12112357275648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23952 (or 23923 counting only the distinct ones).

The product of its digits is 5644800, while the sum is 54.

The spelling of 12112357275648 in words is "twelve trillion, one hundred twelve billion, three hundred fifty-seven million, two hundred seventy-five thousand, six hundred forty-eight".