123411706314432 has 168 divisors, whose sum is σ = 338209647452352. Its totient is φ = 39714595200000.

The previous prime is 123411706314419. The next prime is 123411706314467. The reversal of 123411706314432 is 234413607114321.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1816687507 + ... + 1816755437.

Almost surely, 2^{123411706314432} is an apocalyptic number.

123411706314432 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 123411706314432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169104823726176).

123411706314432 is an abundant number, since it is smaller than the sum of its proper divisors (214797941137920).

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

123411706314432 is a wasteful number, since it uses less digits than its factorization.

123411706314432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 79255 (or 79216 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 42.

The spelling of 123411706314432 in words is "one hundred twenty-three trillion, four hundred eleven billion, seven hundred six million, three hundred fourteen thousand, four hundred thirty-two".