205333340120 has 32 divisors (see below), whose sum is σ = 462080315520. Its totient is φ = 82119060480.

The previous prime is 205333340057. The next prime is 205333340131. The reversal of 205333340120 is 21043333502.

It is a happy number.

It is a super-2 number, since 2×205333340120² (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 205333340120.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 211577 + ... + 674856.

It is an arithmetic number, because the mean of its divisors is an integer number (14440009860).

Almost surely, 2^205333340120 is an apocalyptic number.

205333340120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

205333340120 is an abundant number, since it is smaller than the sum of its proper divisors (256746975400).

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

205333340120 is a wasteful number, since it uses less digits than its factorization.

205333340120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 892235 (or 892231 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 26.

Adding to 205333340120 its reverse (21043333502), we get a palindrome (226376673622).

The spelling of 205333340120 in words is "two hundred five billion, three hundred thirty-three million, three hundred forty thousand, one hundred twenty".