204202120 has 64 divisors (see below), whose sum is σ = 487368000. Its totient is φ = 76785408.

The previous prime is 204202109. The next prime is 204202129. The reversal of 204202120 is 21202402.

It is a self number, because there is not a number n which added to its sum of digits gives 204202120.

It is not an unprimeable number, because it can be changed into a prime (204202129) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 104674 + ... + 106606.

It is an arithmetic number, because the mean of its divisors is an integer number (7615125).

Almost surely, 2^204202120 is an apocalyptic number.

204202120 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 204202120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (243684000).

204202120 is an abundant number, since it is smaller than the sum of its proper divisors (283165880).

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

204202120 is a wasteful number, since it uses less digits than its factorization.

204202120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2102 (or 2098 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 13.

The square root of 204202120 is about 14289.9307206158. The cubic root of 204202120 is about 588.8708846730.

Adding to 204202120 its reverse (21202402), we get a palindrome (225404522).

It can be divided in two parts, 2042021 and 20, that added together give a square (2042041 = 1429²).

The spelling of 204202120 in words is "two hundred four million, two hundred two thousand, one hundred twenty".