505123204000 has 96 divisors (see below), whose sum is σ = 1243856250000. Its totient is φ = 201598566400.

The previous prime is 505123203973. The next prime is 505123204013. The reversal of 505123204000 is 402321505.

It can be written as a sum of positive squares in 8 ways, for example, as 2289048336 + 502834155664 = 47844^2 + 709108^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1655376 + ... + 1936624.

Almost surely, 2^505123204000 is an apocalyptic number.

505123204000 is a gapful number since it is divisible by the number (50) 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 505123204000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (621928125000).

505123204000 is an abundant number, since it is smaller than the sum of its proper divisors (738733046000).

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

505123204000 is a wasteful number, since it uses less digits than its factorization.

505123204000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 281723 (or 281705 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 22.

Adding to 505123204000 its reverse (402321505), we get a palindrome (505525525505).

The spelling of 505123204000 in words is "five hundred five billion, one hundred twenty-three million, two hundred four thousand".