206022120 has 64 divisors (see below), whose sum is σ = 626797440. Its totient is φ = 54163200.

The previous prime is 206022101. The next prime is 206022121. The reversal of 206022120 is 21220602.

206022120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×206022120² = 84890227858588800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 206022120.

It is not an unprimeable number, because it can be changed into a prime (206022121) 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, 3571 + ... + 20610.

It is an arithmetic number, because the mean of its divisors is an integer number (9793710).

Almost surely, 2^206022120 is an apocalyptic number.

206022120 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 206022120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (313398720).

206022120 is an abundant number, since it is smaller than the sum of its proper divisors (420775320).

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

206022120 is a wasteful number, since it uses less digits than its factorization.

206022120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24266 (or 24262 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

The square root of 206022120 is about 14353.4706604361. The cubic root of 206022120 is about 590.6151966683.

Adding to 206022120 its reverse (21220602), we get a palindrome (227242722).

It can be divided in two parts, 20602 and 2120, that added together give a palindrome (22722).

The spelling of 206022120 in words is "two hundred six million, twenty-two thousand, one hundred twenty".