123030180 has 432 divisors, whose sum is σ = 496707120. Its totient is φ = 24385536.

The previous prime is 123030179. The next prime is 123030191. The reversal of 123030180 is 81030321.

It can be written as a sum of positive squares in 8 ways, for example, as 86436 + 122943744 = 294^2 + 11088^2 .

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

It is a congruent number.

It is an unprimeable number.

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 143 ways as a sum of consecutive naturals, for example, 3325122 + ... + 3325158.

It is an arithmetic number, because the mean of its divisors is an integer number (1149785).

Almost surely, 2^123030180 is an apocalyptic number.

123030180 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 123030180, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (248353560).

123030180 is an abundant number, since it is smaller than the sum of its proper divisors (373676940).

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

123030180 is a wasteful number, since it uses less digits than its factorization.

123030180 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 108 (or 96 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 123030180 is about 11091.8970424360. The cubic root of 123030180 is about 497.3596550329.

The spelling of 123030180 in words is "one hundred twenty-three million, thirty thousand, one hundred eighty".