123013203023424 has 224 divisors, whose sum is σ = 391793883212800. Its totient is φ = 33275708651520.

The previous prime is 123013203023407. The next prime is 123013203023441. The reversal of 123013203023424 is 424320302310321.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (123013203023407) and next prime (123013203023441).

It is a tau number, because it is divible by the number of its divisors (224).

It is a junction number, because it is equal to n+sod(n) for n = 123013203023391 and 123013203023400.

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 31 ways as a sum of consecutive naturals, for example, 38795934 + ... + 41846754.

Almost surely, 2^{123013203023424} is an apocalyptic number.

123013203023424 is a gapful number since it is divisible by the number (14) 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 123013203023424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (195896941606400).

123013203023424 is an abundant number, since it is smaller than the sum of its proper divisors (268780680189376).

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

123013203023424 is a wasteful number, since it uses less digits than its factorization.

123013203023424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3052441 (or 3052431 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 30.

Adding to 123013203023424 its reverse (424320302310321), we get a palindrome (547333505333745).

The spelling of 123013203023424 in words is "one hundred twenty-three trillion, thirteen billion, two hundred three million, twenty-three thousand, four hundred twenty-four".