505452312120 has 256 divisors, whose sum is σ = 1761431961600. Its totient is φ = 113640215040.

The previous prime is 505452312019. The next prime is 505452312151. The reversal of 505452312120 is 21213254505.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 40459075 + ... + 40471565.

It is an arithmetic number, because the mean of its divisors is an integer number (6880593600).

Almost surely, 2^505452312120 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 505452312120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (880715980800).

505452312120 is an abundant number, since it is smaller than the sum of its proper divisors (1255979649480).

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

505452312120 is a wasteful number, since it uses less digits than its factorization.

505452312120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13298 (or 13294 counting only the distinct ones).

The product of its (nonzero) digits is 12000, while the sum is 30.

Adding to 505452312120 its reverse (21213254505), we get a palindrome (526665566625).

The spelling of 505452312120 in words is "five hundred five billion, four hundred fifty-two million, three hundred twelve thousand, one hundred twenty".