120205830 has 16 divisors (see below), whose sum is σ = 288494064. Its totient is φ = 32054880.

The previous prime is 120205823. The next prime is 120205849. The reversal of 120205830 is 38502021.

It is a junction number, because it is equal to n+sod(n) for n = 120205797 and 120205806.

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 2003401 + ... + 2003460.

It is an arithmetic number, because the mean of its divisors is an integer number (18030879).

Almost surely, 2^120205830 is an apocalyptic number.

120205830 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

120205830 is an abundant number, since it is smaller than the sum of its proper divisors (168288234).

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

120205830 is a wasteful number, since it uses less digits than its factorization.

120205830 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4006871.

The product of its (nonzero) digits is 480, while the sum is 21.

The square root of 120205830 is about 10963.8419361098. The cubic root of 120205830 is about 493.5242651303.

Adding to 120205830 its reverse (38502021), we get a palindrome (158707851).

The spelling of 120205830 in words is "one hundred twenty million, two hundred five thousand, eight hundred thirty".