205213122234120 has 512 divisors, whose sum is σ = 834617938452480. Its totient is φ = 38979404513280.

The previous prime is 205213122234097. The next prime is 205213122234121. The reversal of 205213122234120 is 21432221312502.

It is a happy number.

It is a super-2 number, since 2×205213122234120² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (205213122234121) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 4079152 + ... + 20665568.

It is an arithmetic number, because the mean of its divisors is an integer number (1630113161040).

Almost surely, 2^{205213122234120} is an apocalyptic number.

205213122234120 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 205213122234120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (417308969226240).

205213122234120 is an abundant number, since it is smaller than the sum of its proper divisors (629404816218360).

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

205213122234120 is a wasteful number, since it uses less digits than its factorization.

205213122234120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16586565 (or 16586561 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 30.

Adding to 205213122234120 its reverse (21432221312502), we get a palindrome (226645343546622).

The spelling of 205213122234120 in words is "two hundred five trillion, two hundred thirteen billion, one hundred twenty-two million, two hundred thirty-four thousand, one hundred twenty".