123112322112 has 112 divisors (see below), whose sum is σ = 351514980992. Its totient is φ = 37802557440.

The previous prime is 123112322077. The next prime is 123112322141. The reversal of 123112322112 is 211223211321.

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1164912 + ... + 1266192.

It is an arithmetic number, because the mean of its divisors is an integer number (3138526616).

Almost surely, 2^123112322112 is an apocalyptic number.

123112322112 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 123112322112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175757490496).

123112322112 is an abundant number, since it is smaller than the sum of its proper divisors (228402658880).

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

123112322112 is a wasteful number, since it uses less digits than its factorization.

123112322112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 101796 (or 101786 counting only the distinct ones).

The product of its digits is 288, while the sum is 21.

Adding to 123112322112 its reverse (211223211321), we get a palindrome (334335533433).

The spelling of 123112322112 in words is "one hundred twenty-three billion, one hundred twelve million, three hundred twenty-two thousand, one hundred twelve".