205122060 has 216 divisors, whose sum is σ = 736195824. Its totient is φ = 45826560.

The previous prime is 205122037. The next prime is 205122061. The reversal of 205122060 is 60221502.

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

It is not an unprimeable number, because it can be changed into a prime (205122061) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 334314 + ... + 334926.

It is an arithmetic number, because the mean of its divisors is an integer number (3408314).

Almost surely, 2^205122060 is an apocalyptic number.

205122060 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 205122060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (368097912).

205122060 is an abundant number, since it is smaller than the sum of its proper divisors (531073764).

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

205122060 is a wasteful number, since it uses less digits than its factorization.

205122060 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 665 (or 647 counting only the distinct ones).

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

The square root of 205122060 is about 14322.0829490685. The cubic root of 205122060 is about 589.7538569156.

Adding to 205122060 its reverse (60221502), we get a palindrome (265343562).

It can be divided in two parts, 205 and 122060, that added together give a triangular number (122265 = T₄₉₄).

The spelling of 205122060 in words is "two hundred five million, one hundred twenty-two thousand, sixty".