505212112020 has 192 divisors, whose sum is σ = 1769218246656. Its totient is φ = 104647672320.

The previous prime is 505212112007. The next prime is 505212112043. The reversal of 505212112020 is 20211212505.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1292059 + ... + 1637021.

It is an arithmetic number, because the mean of its divisors is an integer number (9214678368).

Almost surely, 2^505212112020 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 505212112020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (884609123328).

505212112020 is an abundant number, since it is smaller than the sum of its proper divisors (1264006134636).

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

505212112020 is a wasteful number, since it uses less digits than its factorization.

505212112020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 345310 (or 345308 counting only the distinct ones).

The product of its (nonzero) digits is 400, while the sum is 21.

Adding to 505212112020 its reverse (20211212505), we get a palindrome (525423324525).

The spelling of 505212112020 in words is "five hundred five billion, two hundred twelve million, one hundred twelve thousand, twenty".