123321356928 has 1152 divisors, whose sum is σ = 480370974720. Its totient is φ = 30792960000.

The previous prime is 123321356909. The next prime is 123321356941. The reversal of 123321356928 is 829653123321.

123321356928 is a `hidden beast` number, since 1 + 23 + 32 + 13 + 569 + 28 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

Its product of digits (466560) is a multiple of the sum of its prime factors (240).

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, 816697653 + ... + 816697803.

Almost surely, 2^123321356928 is an apocalyptic number.

123321356928 is a gapful number since it is divisible by the number (18) 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 123321356928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (240185487360).

123321356928 is an abundant number, since it is smaller than the sum of its proper divisors (357049617792).

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

123321356928 is a wasteful number, since it uses less digits than its factorization.

123321356928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 240 (or 205 counting only the distinct ones).

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

It can be divided in two parts, 123321 and 356928, that added together give a square (480249 = 693²).

The spelling of 123321356928 in words is "one hundred twenty-three billion, three hundred twenty-one million, three hundred fifty-six thousand, nine hundred twenty-eight".