205341442120000 has 140 divisors (see below), whose sum is σ = 539131809361860. Its totient is φ = 77305013248000.

The previous prime is 205341442119973. The next prime is 205341442120013. The reversal of 205341442120000 is 21244143502.

It can be written as a sum of positive squares in 10 ways, for example, as 140951602268416 + 64389839851584 = 11872304^2 + 8024328^2 .

It is a congruent number.

It is an unprimeable number.

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 19 ways as a sum of consecutive naturals, for example, 150306355 + ... + 151666354.

Almost surely, 2^{205341442120000} is an apocalyptic number.

205341442120000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

205341442120000 is an abundant number, since it is smaller than the sum of its proper divisors (333790367241860).

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

205341442120000 is an equidigital number, since it uses as much as digits as its factorization.

205341442120000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 301972758 (or 301972733 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 28.

Adding to 205341442120000 its reverse (21244143502), we get a palindrome (205362686263502).

The spelling of 205341442120000 in words is "two hundred five trillion, three hundred forty-one billion, four hundred forty-two million, one hundred twenty thousand".