123533120 has 28 divisors (see below), whose sum is σ = 294164004. Its totient is φ = 49413120.

The previous prime is 123533119. The next prime is 123533129. The reversal of 123533120 is 21335321.

It can be written as a sum of positive squares in 2 ways, for example, as 95570176 + 27962944 = 9776^2 + 5288^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 123533092 and 123533101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (123533129) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 192701 + ... + 193340.

Almost surely, 2^123533120 is an apocalyptic number.

123533120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

123533120 is an abundant number, since it is smaller than the sum of its proper divisors (170630884).

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

123533120 is an equidigital number, since it uses as much as digits as its factorization.

123533120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 386058 (or 386048 counting only the distinct ones).

The product of its (nonzero) digits is 540, while the sum is 20.

The square root of 123533120 is about 11114.5454248026. The cubic root of 123533120 is about 498.0364591082.

Adding to 123533120 its reverse (21335321), we get a palindrome (144868441).

The spelling of 123533120 in words is "one hundred twenty-three million, five hundred thirty-three thousand, one hundred twenty".