204302002303120 has 40 divisors (see below), whose sum is σ = 502943458614264. Its totient is φ = 76913694984192.

The previous prime is 204302002303109. The next prime is 204302002303121. The reversal of 204302002303120 is 21303200203402.

It can be written as a sum of positive squares in 4 ways, for example, as 1503782258944 + 202798220044176 = 1226288^2 + 14240724^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a junction number, because it is equal to n+sod(n) for n = 204302002303091 and 204302002303100.

It is not an unprimeable number, because it can be changed into a prime (204302002303121) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 75111028899 + ... + 75111031618.

Almost surely, 2^{204302002303120} is an apocalyptic number.

204302002303120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

204302002303120 is an abundant number, since it is smaller than the sum of its proper divisors (298641456311144).

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

204302002303120 is a wasteful number, since it uses less digits than its factorization.

204302002303120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 150222060547 (or 150222060541 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 22.

Adding to 204302002303120 its reverse (21303200203402), we get a palindrome (225605202506522).

The spelling of 204302002303120 in words is "two hundred four trillion, three hundred two billion, two million, three hundred three thousand, one hundred twenty".