205495130112 has 192 divisors, whose sum is σ = 555413040000. Its totient is φ = 67558440960.

The previous prime is 205495130111. The next prime is 205495130147. The reversal of 205495130112 is 211031594502.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (192).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (205495130111) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 297387687 + ... + 297388377.

It is an arithmetic number, because the mean of its divisors is an integer number (2892776250).

Almost surely, 2^205495130112 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 205495130112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (277706520000).

205495130112 is an abundant number, since it is smaller than the sum of its proper divisors (349917909888).

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

205495130112 is an equidigital number, since it uses as much as digits as its factorization.

205495130112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1312 (or 1292 counting only the distinct ones).

The product of its (nonzero) digits is 10800, while the sum is 33.

The spelling of 205495130112 in words is "two hundred five billion, four hundred ninety-five million, one hundred thirty thousand, one hundred twelve".