123123122304 has 256 divisors, whose sum is σ = 403839770880. Its totient is φ = 32365412352.

The previous prime is 123123122299. The next prime is 123123122321. The reversal of 123123122304 is 403221321321.

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

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, 10931844 + ... + 10943100.

It is an arithmetic number, because the mean of its divisors is an integer number (1577499105).

Almost surely, 2^123123122304 is an apocalyptic number.

123123122304 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 123123122304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (201919885440).

123123122304 is an abundant number, since it is smaller than the sum of its proper divisors (280716648576).

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

123123122304 is a wasteful number, since it uses less digits than its factorization.

123123122304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11607 (or 11595 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 123123122304 its reverse (403221321321), we get a palindrome (526344443625).

The spelling of 123123122304 in words is "one hundred twenty-three billion, one hundred twenty-three million, one hundred twenty-two thousand, three hundred four".