204342120 has 288 divisors, whose sum is σ = 737591400. Its totient is φ = 48964608.

The previous prime is 204342113. The next prime is 204342133. The reversal of 204342120 is 21243402.

204342120 is a `hidden beast` number, since 20 + 434 + 212 + 0 = 666.

204342120 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 194267844 + 10074276 = 13938^2 + 3174^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 204342093 and 204342102.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 5522742 + ... + 5522778.

Almost surely, 2^204342120 is an apocalyptic number.

204342120 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 204342120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (368795700).

204342120 is an abundant number, since it is smaller than the sum of its proper divisors (533249280).

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

204342120 is a wasteful number, since it uses less digits than its factorization.

204342120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 129 (or 99 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 204342120 is about 14294.8284354867. The cubic root of 204342120 is about 589.0054296203.

Adding to 204342120 its reverse (21243402), we get a palindrome (225585522).

The spelling of 204342120 in words is "two hundred four million, three hundred forty-two thousand, one hundred twenty".