123096568320 has 480 divisors, whose sum is σ = 482326004160. Its totient is φ = 29839933440.

The previous prime is 123096568291. The next prime is 123096568351. The reversal of 123096568320 is 23865690321.

123096568320 is a `hidden beast` number, since 1 + 230 + 96 + 5 + 6 + 8 + 320 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6833886 + ... + 6851874.

It is an arithmetic number, because the mean of its divisors is an integer number (1004845842).

Almost surely, 2^123096568320 is an apocalyptic number.

123096568320 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 123096568320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (241163002080).

123096568320 is an abundant number, since it is smaller than the sum of its proper divisors (359229435840).

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

123096568320 is an equidigital number, since it uses as much as digits as its factorization.

123096568320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18038 (or 18010 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 45.

The spelling of 123096568320 in words is "one hundred twenty-three billion, ninety-six million, five hundred sixty-eight thousand, three hundred twenty".