205011432120 has 128 divisors (see below), whose sum is σ = 671309856000. Its totient is φ = 49672826880.

The previous prime is 205011432091. The next prime is 205011432181. The reversal of 205011432120 is 21234110502.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2452371 + ... + 2534589.

It is an arithmetic number, because the mean of its divisors is an integer number (5244608250).

Almost surely, 2^205011432120 is an apocalyptic number.

205011432120 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 205011432120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (335654928000).

205011432120 is an abundant number, since it is smaller than the sum of its proper divisors (466298423880).

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

205011432120 is a wasteful number, since it uses less digits than its factorization.

205011432120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 84133 (or 84129 counting only the distinct ones).

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

Adding to 205011432120 its reverse (21234110502), we get a palindrome (226245542622).

The spelling of 205011432120 in words is "two hundred five billion, eleven million, four hundred thirty-two thousand, one hundred twenty".