123520320 has 336 divisors, whose sum is σ = 530644608. Its totient is φ = 25620480.

The previous prime is 123520297. The next prime is 123520321. The reversal of 123520320 is 23025321.

123520320 is a `hidden beast` number, since 123 + 520 + 3 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 123520293 and 123520302.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (123520321) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 221482 + ... + 222038.

Almost surely, 2^123520320 is an apocalyptic number.

123520320 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 123520320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (265322304).

123520320 is an abundant number, since it is smaller than the sum of its proper divisors (407124288).

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

123520320 is a wasteful number, since it uses less digits than its factorization.

123520320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 598 (or 585 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 18.

The square root of 123520320 is about 11113.9695878655. The cubic root of 123520320 is about 498.0192570093.

Adding to 123520320 its reverse (23025321), we get a palindrome (146545641).

The spelling of 123520320 in words is "one hundred twenty-three million, five hundred twenty thousand, three hundred twenty".