204220434120 has 128 divisors (see below), whose sum is σ = 617020416000. Its totient is φ = 54072241920.

The previous prime is 204220434059. The next prime is 204220434161. The reversal of 204220434120 is 21434022402.

204220434120 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×204220434120² (a number of 23 digits) contains 22 as substring.

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 (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 14835801 + ... + 14849559.

It is an arithmetic number, because the mean of its divisors is an integer number (4820472000).

Almost surely, 2^204220434120 is an apocalyptic number.

204220434120 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 204220434120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (308510208000).

204220434120 is an abundant number, since it is smaller than the sum of its proper divisors (412799981880).

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

204220434120 is a wasteful number, since it uses less digits than its factorization.

204220434120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14643 (or 14639 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 24.

Adding to 204220434120 its reverse (21434022402), we get a palindrome (225654456522).

The spelling of 204220434120 in words is "two hundred four billion, two hundred twenty million, four hundred thirty-four thousand, one hundred twenty".