205038120 has 256 divisors, whose sum is σ = 767232000. Its totient is φ = 42771456.

The previous prime is 205038109. The next prime is 205038133. The reversal of 205038120 is 21830502.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 462619 + ... + 463061.

It is an arithmetic number, because the mean of its divisors is an integer number (2997000).

Almost surely, 2^205038120 is an apocalyptic number.

205038120 is a gapful number since it is divisible by the number (20) 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 205038120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (383616000).

205038120 is an abundant number, since it is smaller than the sum of its proper divisors (562193880).

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

205038120 is a wasteful number, since it uses less digits than its factorization.

205038120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 512 (or 508 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 21.

The square root of 205038120 is about 14319.1522095409. The cubic root of 205038120 is about 589.6733996293.

Adding to 205038120 its reverse (21830502), we get a palindrome (226868622).

The spelling of 205038120 in words is "two hundred five million, thirty-eight thousand, one hundred twenty".