123032023300032 has 1008 divisors, whose sum is σ = 424282392382464. Its totient is φ = 31342292889600.

The previous prime is 123032023299989. The next prime is 123032023300061. The reversal of 123032023300032 is 230003320230321.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 123032023299975 and 123032023300011.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 15922349353 + ... + 15922357079.

It is an arithmetic number, because the mean of its divisors is an integer number (420915071808).

Almost surely, 2^{123032023300032} is an apocalyptic number.

123032023300032 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 123032023300032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (212141196191232).

123032023300032 is an abundant number, since it is smaller than the sum of its proper divisors (301250369082432).

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

123032023300032 is a wasteful number, since it uses less digits than its factorization.

123032023300032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8046 (or 8018 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 24.

Adding to 123032023300032 its reverse (230003320230321), we get a palindrome (353035343530353).

The spelling of 123032023300032 in words is "one hundred twenty-three trillion, thirty-two billion, twenty-three million, three hundred thousand, thirty-two".