204242120202120 has 1024 divisors, whose sum is σ = 847674016358400. Its totient is φ = 37992107704320.

The previous prime is 204242120202011. The next prime is 204242120202137. The reversal of 204242120202120 is 21202021242402.

204242120202120 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 1364368236 + ... + 1364517924.

It is an arithmetic number, because the mean of its divisors is an integer number (827806656600).

Almost surely, 2^{204242120202120} is an apocalyptic number.

204242120202120 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 204242120202120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (423837008179200).

204242120202120 is an abundant number, since it is smaller than the sum of its proper divisors (643431896156280).

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

204242120202120 is a wasteful number, since it uses less digits than its factorization.

204242120202120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 150078 (or 150074 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 24.

Adding to 204242120202120 its reverse (21202021242402), we get a palindrome (225444141444522).

The spelling of 204242120202120 in words is "two hundred four trillion, two hundred forty-two billion, one hundred twenty million, two hundred two thousand, one hundred twenty".