205512230000 has 200 divisors, whose sum is σ = 620343926400. Its totient is φ = 64055520000.

The previous prime is 205512229997. The next prime is 205512230017. The reversal of 205512230000 is 32215502.

It is a tau number, because it is divible by the number of its divisors (200).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 636551 + ... + 903449.

It is an arithmetic number, because the mean of its divisors is an integer number (3101719632).

Almost surely, 2^205512230000 is an apocalyptic number.

205512230000 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 205512230000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (310171963200).

205512230000 is an abundant number, since it is smaller than the sum of its proper divisors (414831696400).

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

205512230000 is a wasteful number, since it uses less digits than its factorization.

205512230000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 266945 (or 266924 counting only the distinct ones).

The product of its (nonzero) digits is 600, while the sum is 20.

Adding to 205512230000 its reverse (32215502), we get a palindrome (205544445502).

The spelling of 205512230000 in words is "two hundred five billion, five hundred twelve million, two hundred thirty thousand".