123433120 has 72 divisors (see below), whose sum is σ = 307910484. Its totient is φ = 46752768.

The previous prime is 123433117. The next prime is 123433129. The reversal of 123433120 is 21334321.

It can be written as a sum of positive squares in 2 ways, for example, as 108409744 + 15023376 = 10412^2 + 3876^2 .

It is a super-2 number, since 2×123433120² = 30471470225868800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (19).

It is not an unprimeable number, because it can be changed into a prime (123433129) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 56692 + ... + 58828.

Almost surely, 2^123433120 is an apocalyptic number.

123433120 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 123433120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153955242).

123433120 is an abundant number, since it is smaller than the sum of its proper divisors (184477364).

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

123433120 is a wasteful number, since it uses less digits than its factorization.

123433120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2190 (or 2163 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 19.

The square root of 123433120 is about 11110.0459044956. The cubic root of 123433120 is about 497.9020360735.

Adding to 123433120 its reverse (21334321), we get a palindrome (144767441).

The spelling of 123433120 in words is "one hundred twenty-three million, four hundred thirty-three thousand, one hundred twenty".