123008872320 has 256 divisors, whose sum is σ = 454599475200. Its totient is φ = 31376074752.

The previous prime is 123008872241. The next prime is 123008872321. The reversal of 123008872320 is 23278800321.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (123008872321) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 242689 + ... + 552191.

It is an arithmetic number, because the mean of its divisors is an integer number (1775779200).

Almost surely, 2^123008872320 is an apocalyptic number.

123008872320 is a gapful number since it is divisible by the number (10) 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 123008872320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (227299737600).

123008872320 is an abundant number, since it is smaller than the sum of its proper divisors (331590602880).

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

123008872320 is a wasteful number, since it uses less digits than its factorization.

123008872320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 309554 (or 309536 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The spelling of 123008872320 in words is "one hundred twenty-three billion, eight million, eight hundred seventy-two thousand, three hundred twenty".