206351120 has 20 divisors (see below), whose sum is σ = 479766540. Its totient is φ = 82540416.

The previous prime is 206351111. The next prime is 206351129. The reversal of 206351120 is 21153602.

It is an interprime number because it is at equal distance from previous prime (206351111) and next prime (206351129).

It can be written as a sum of positive squares in 2 ways, for example, as 158961664 + 47389456 = 12608^2 + 6884^2 .

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 (20).

It is a junction number, because it is equal to n+sod(n) for n = 206351092 and 206351101.

It is not an unprimeable number, because it can be changed into a prime (206351129) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1289615 + ... + 1289774.

It is an arithmetic number, because the mean of its divisors is an integer number (23988327).

Almost surely, 2^206351120 is an apocalyptic number.

206351120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

206351120 is an abundant number, since it is smaller than the sum of its proper divisors (273415420).

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

206351120 is a wasteful number, since it uses less digits than its factorization.

206351120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2579402 (or 2579396 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 20.

The square root of 206351120 is about 14364.9267314525. The cubic root of 206351120 is about 590.9294170666.

The spelling of 206351120 in words is "two hundred six million, three hundred fifty-one thousand, one hundred twenty".