505212120500 has 48 divisors (see below), whose sum is σ = 1103470896528. Its totient is φ = 202068800000.

The previous prime is 505212120461. The next prime is 505212120509. The reversal of 505212120500 is 5021212505.

It can be written as a sum of positive squares in 8 ways, for example, as 52243984 + 505159876516 = 7228^2 + 710746^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (505212120509) 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, 7788200 + ... + 7852800.

It is an arithmetic number, because the mean of its divisors is an integer number (22988977011).

Almost surely, 2^505212120500 is an apocalyptic number.

505212120500 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

505212120500 is an abundant number, since it is smaller than the sum of its proper divisors (598258776028).

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

505212120500 is a wasteful number, since it uses less digits than its factorization.

505212120500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 80261 (or 80249 counting only the distinct ones).

The product of its (nonzero) digits is 1000, while the sum is 23.

The spelling of 505212120500 in words is "five hundred five billion, two hundred twelve million, one hundred twenty thousand, five hundred".