123033120 has 144 divisors (see below), whose sum is σ = 450914688. Its totient is φ = 28116480.

The previous prime is 123033107. The next prime is 123033179. The reversal of 123033120 is 21330321.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 123033120.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 20905 + ... + 26135.

It is an arithmetic number, because the mean of its divisors is an integer number (3131352).

Almost surely, 2^123033120 is an apocalyptic number.

123033120 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 123033120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (225457344).

123033120 is an abundant number, since it is smaller than the sum of its proper divisors (327881568).

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

123033120 is a wasteful number, since it uses less digits than its factorization.

123033120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5263 (or 5248 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 15.

The square root of 123033120 is about 11092.0295708225. The cubic root of 123033120 is about 497.3636167322.

Adding to 123033120 its reverse (21330321), we get a palindrome (144363441).

The spelling of 123033120 in words is "one hundred twenty-three million, thirty-three thousand, one hundred twenty".