205123240512 has 112 divisors (see below), whose sum is σ = 603170142400. Its totient is φ = 68357882880.

The previous prime is 205123240499. The next prime is 205123240519. The reversal of 205123240512 is 215042321502.

205123240512 is a `hidden beast` number, since 2 + 0 + 5 + 123 + 24 + 0 + 512 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (205123240519) 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, 8647164 + ... + 8670852.

It is an arithmetic number, because the mean of its divisors is an integer number (5385447700).

Almost surely, 2^205123240512 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 205123240512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (301585071200).

205123240512 is an abundant number, since it is smaller than the sum of its proper divisors (398046901888).

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

205123240512 is a wasteful number, since it uses less digits than its factorization.

205123240512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28721 (or 28705 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

The spelling of 205123240512 in words is "two hundred five billion, one hundred twenty-three million, two hundred forty thousand, five hundred twelve".