123412401322112 has 256 divisors, whose sum is σ = 293388075751680. Its totient is φ = 50612446494720.

The previous prime is 123412401322079. The next prime is 123412401322193. The reversal of 123412401322112 is 211223104214321.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 573378098 + ... + 573593294.

It is an arithmetic number, because the mean of its divisors is an integer number (1146047170905).

Almost surely, 2^{123412401322112} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 123412401322112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146694037875840).

123412401322112 is an abundant number, since it is smaller than the sum of its proper divisors (169975674429568).

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

123412401322112 is a wasteful number, since it uses less digits than its factorization.

123412401322112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 215559 (or 215547 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 29.

Adding to 123412401322112 its reverse (211223104214321), we get a palindrome (334635505536433).

The spelling of 123412401322112 in words is "one hundred twenty-three trillion, four hundred twelve billion, four hundred one million, three hundred twenty-two thousand, one hundred twelve".