123005204 has 48 divisors (see below), whose sum is σ = 253317120. Its totient is φ = 51170400.

The previous prime is 123005191. The next prime is 123005237. The reversal of 123005204 is 402500321.

It is a super-2 number, since 2×123005204² = 30260560422163232, which contains 22 as substring.

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 15 ways as a sum of consecutive naturals, for example, 198407 + ... + 199025.

It is an arithmetic number, because the mean of its divisors is an integer number (5277440).

Almost surely, 2^123005204 is an apocalyptic number.

123005204 is a gapful number since it is divisible by the number (14) 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 123005204, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126658560).

123005204 is an abundant number, since it is smaller than the sum of its proper divisors (130311916).

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

123005204 is a wasteful number, since it uses less digits than its factorization.

123005204 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 828 (or 826 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 17.

The square root of 123005204 is about 11090.7711183668. The cubic root of 123005204 is about 497.3259969081.

Adding to 123005204 its reverse (402500321), we get a palindrome (525505525).

The spelling of 123005204 in words is "one hundred twenty-three million, five thousand, two hundred four".