205423012000 has 48 divisors (see below), whose sum is σ = 504724350312. Its totient is φ = 82169203200.

The previous prime is 205423011967. The next prime is 205423012033. The reversal of 205423012000 is 210324502.

It is an interprime number because it is at equal distance from previous prime (205423011967) and next prime (205423012033).

It can be written as a sum of positive squares in 4 ways, for example, as 30822718096 + 174600293904 = 175564^2 + 417852^2 .

It is a super-2 number, since 2×205423012000² (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 25673877 + ... + 25681876.

Almost surely, 2^205423012000 is an apocalyptic number.

205423012000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

205423012000 is an abundant number, since it is smaller than the sum of its proper divisors (299301338312).

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

205423012000 is an equidigital number, since it uses as much as digits as its factorization.

205423012000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51355778 (or 51355760 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 19.

Adding to 205423012000 its reverse (210324502), we get a palindrome (205633336502).

The spelling of 205423012000 in words is "two hundred five billion, four hundred twenty-three million, twelve thousand".