205010340120 has 128 divisors (see below), whose sum is σ = 685890432000. Its totient is φ = 54467614080.

The previous prime is 205010340089. The next prime is 205010340151. The reversal of 205010340120 is 21043010502.

205010340120 is a `hidden beast` number, since 2 + 0 + 501 + 0 + 3 + 40 + 120 = 666.

205010340120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (205010340089) and next prime (205010340151).

It is a super-2 number, since 2×205010340120² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 205010340093 and 205010340102.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 57550 + ... + 642909.

It is an arithmetic number, because the mean of its divisors is an integer number (5358519000).

Almost surely, 2^205010340120 is an apocalyptic number.

205010340120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 205010340120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (342945216000).

205010340120 is an abundant number, since it is smaller than the sum of its proper divisors (480880091880).

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

205010340120 is a wasteful number, since it uses less digits than its factorization.

205010340120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 700750 (or 700740 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

Adding to 205010340120 its reverse (21043010502), we get a palindrome (226053350622).

The spelling of 205010340120 in words is "two hundred five billion, ten million, three hundred forty thousand, one hundred twenty".