205004120 has 32 divisors (see below), whose sum is σ = 463691520. Its totient is φ = 81569280.

The previous prime is 205004119. The next prime is 205004179. The reversal of 205004120 is 21400502.

It is a super-3 number, since 3×205004120³ (a number of 26 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 205004095 and 205004104.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5777 + ... + 21056.

It is an arithmetic number, because the mean of its divisors is an integer number (14490360).

Almost surely, 2^205004120 is an apocalyptic number.

205004120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

205004120 is an abundant number, since it is smaller than the sum of its proper divisors (258687400).

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

205004120 is a wasteful number, since it uses less digits than its factorization.

205004120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27035 (or 27031 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 14.

The square root of 205004120 is about 14317.9649391944. The cubic root of 205004120 is about 589.6408040581.

Adding to 205004120 its reverse (21400502), we get a palindrome (226404622).

The spelling of 205004120 in words is "two hundred five million, four thousand, one hundred twenty".