205116912 has 240 divisors, whose sum is σ = 771283968. Its totient is φ = 49144320.

The previous prime is 205116911. The next prime is 205116959. The reversal of 205116912 is 219611502.

205116912 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (205116911) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 143433 + ... + 144855.

Almost surely, 2^205116912 is an apocalyptic number.

205116912 is a gapful number since it is divisible by the number (22) 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 205116912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (385641984).

205116912 is an abundant number, since it is smaller than the sum of its proper divisors (566167056).

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

205116912 is a wasteful number, since it uses less digits than its factorization.

205116912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1468 (or 1459 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 27.

The square root of 205116912 is about 14321.9032254795. The cubic root of 205116912 is about 589.7489231406.

The spelling of 205116912 in words is "two hundred five million, one hundred sixteen thousand, nine hundred twelve".