205822120 has 64 divisors (see below), whose sum is σ = 543588480. Its totient is φ = 68656896.

The previous prime is 205822109. The next prime is 205822121. The reversal of 205822120 is 21228502.

It is a junction number, because it is equal to n+sod(n) for n = 205822091 and 205822100.

It is not an unprimeable number, because it can be changed into a prime (205822121) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 427 + ... + 20293.

It is an arithmetic number, because the mean of its divisors is an integer number (8493570).

Almost surely, 2^205822120 is an apocalyptic number.

205822120 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 205822120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (271794240).

205822120 is an abundant number, since it is smaller than the sum of its proper divisors (337766360).

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

205822120 is a wasteful number, since it uses less digits than its factorization.

205822120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19922 (or 19918 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 22.

The square root of 205822120 is about 14346.5020126859. The cubic root of 205822120 is about 590.4240177091.

The spelling of 205822120 in words is "two hundred five million, eight hundred twenty-two thousand, one hundred twenty".