206128712196 has 135 divisors (see below), whose sum is σ = 592560369093. Its totient is φ = 62436005280.

The previous prime is 206128712189. The next prime is 206128712221. The reversal of 206128712196 is 691217821602.

The square root of 206128712196 is 454014.

It is a perfect power (a square), and thus also a powerful number.

206128712196 is a `hidden beast` number, since 2 + 0 + 612 + 8 + 7 + 1 + 21 + 9 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 59794920900 + 146333791296 = 244530^2 + 382536^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 89893626 + ... + 89895918.

Almost surely, 2^206128712196 is an apocalyptic number.

206128712196 is the 454014-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 206128712196

206128712196 is an abundant number, since it is smaller than the sum of its proper divisors (386431656897).

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

206128712196 is an equidigital number, since it uses as much as digits as its factorization.

206128712196 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4624 (or 2309 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 45.

The spelling of 206128712196 in words is "two hundred six billion, one hundred twenty-eight million, seven hundred twelve thousand, one hundred ninety-six".