205123120 has 20 divisors (see below), whose sum is σ = 476911440. Its totient is φ = 82049216.

The previous prime is 205123109. The next prime is 205123141. The reversal of 205123120 is 21321502.

205123120 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 tau number, because it is divible by the number of its divisors (20).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 205123094 and 205123103.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1281940 + ... + 1282099.

It is an arithmetic number, because the mean of its divisors is an integer number (23845572).

Almost surely, 2^205123120 is an apocalyptic number.

205123120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

205123120 is an abundant number, since it is smaller than the sum of its proper divisors (271788320).

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

205123120 is a wasteful number, since it uses less digits than its factorization.

205123120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2564052 (or 2564046 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 16.

The square root of 205123120 is about 14322.1199548112. The cubic root of 205123120 is about 589.7548727953.

Adding to 205123120 its reverse (21321502), we get a palindrome (226444622).

It can be divided in two parts, 20512 and 3120, that added together give a palindrome (23632).

The spelling of 205123120 in words is "two hundred five million, one hundred twenty-three thousand, one hundred twenty".