206012176128 has 972 divisors, whose sum is σ = 727100796240. Its totient is φ = 55935221760.

The previous prime is 206012176127. The next prime is 206012176157. The reversal of 206012176128 is 821671210602.

206012176128 is a `hidden beast` number, since 2 + 0 + 601 + 21 + 7 + 6 + 1 + 28 = 666.

206012176128 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 206012176092 and 206012176101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (206012176127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 2314743508 + ... + 2314743596.

Almost surely, 2^206012176128 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 206012176128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (363550398120).

206012176128 is an abundant number, since it is smaller than the sum of its proper divisors (521088620112).

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

206012176128 is a wasteful number, since it uses less digits than its factorization.

206012176128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 194 (or 147 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

The spelling of 206012176128 in words is "two hundred six billion, twelve million, one hundred seventy-six thousand, one hundred twenty-eight".