123201320 has 64 divisors (see below), whose sum is σ = 318340800. Its totient is φ = 42439680.

The previous prime is 123201307. The next prime is 123201341. The reversal of 123201320 is 23102321.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 123201295 and 123201304.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 992 + ... + 15728.

It is an arithmetic number, because the mean of its divisors is an integer number (4974075).

Almost surely, 2^123201320 is an apocalyptic number.

123201320 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 123201320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159170400).

123201320 is an abundant number, since it is smaller than the sum of its proper divisors (195139480).

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

123201320 is a wasteful number, since it uses less digits than its factorization.

123201320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14778 (or 14774 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 14.

The square root of 123201320 is about 11099.6090021226. The cubic root of 123201320 is about 497.5901640409.

Adding to 123201320 its reverse (23102321), we get a palindrome (146303641).

The spelling of 123201320 in words is "one hundred twenty-three million, two hundred one thousand, three hundred twenty".