123404834023296 has 512 divisors, whose sum is σ = 400202643456000. Its totient is φ = 32907955691520.

The previous prime is 123404834023271. The next prime is 123404834023343. The reversal of 123404834023296 is 692320438404321.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1859957995 + ... + 1860024341.

It is an arithmetic number, because the mean of its divisors is an integer number (781645788000).

Almost surely, 2^{123404834023296} is an apocalyptic number.

123404834023296 is a gapful number since it is divisible by the number (16) 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 123404834023296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (200101321728000).

123404834023296 is an abundant number, since it is smaller than the sum of its proper divisors (276797809432704).

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

123404834023296 is a wasteful number, since it uses less digits than its factorization.

123404834023296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 66930 (or 66918 counting only the distinct ones).

The product of its (nonzero) digits is 5971968, while the sum is 51.

The spelling of 123404834023296 in words is "one hundred twenty-three trillion, four hundred four billion, eight hundred thirty-four million, twenty-three thousand, two hundred ninety-six".