205212333442220 has 72 divisors (see below), whose sum is σ = 466670617585200. Its totient is φ = 75766639153920.

The previous prime is 205212333442217. The next prime is 205212333442223. The reversal of 205212333442220 is 22244333212502.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (205212333442217) and next prime (205212333442223).

It is a super-2 number, since 2×205212333442220² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (205212333442223) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 61690106 + ... + 64931454.

It is an arithmetic number, because the mean of its divisors is an integer number (6481536355350).

Almost surely, 2^{205212333442220} is an apocalyptic number.

205212333442220 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

205212333442220 is an abundant number, since it is smaller than the sum of its proper divisors (261458284142980).

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

205212333442220 is a wasteful number, since it uses less digits than its factorization.

205212333442220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3260115 (or 3260100 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 35.

Adding to 205212333442220 its reverse (22244333212502), we get a palindrome (227456666654722).

The spelling of 205212333442220 in words is "two hundred five trillion, two hundred twelve billion, three hundred thirty-three million, four hundred forty-two thousand, two hundred twenty".