505050120 has 128 divisors (see below), whose sum is σ = 1692921600. Its totient is φ = 133926912.

The previous prime is 505050113. The next prime is 505050149. The reversal of 505050120 is 21050505.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 505050093 and 505050102.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 207229 + ... + 209651.

It is an arithmetic number, because the mean of its divisors is an integer number (13225950).

Almost surely, 2^505050120 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 505050120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (846460800).

505050120 is an abundant number, since it is smaller than the sum of its proper divisors (1187871480).

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

505050120 is a wasteful number, since it uses less digits than its factorization.

505050120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2636 (or 2626 counting only the distinct ones).

The product of its (nonzero) digits is 250, while the sum is 18.

The square root of 505050120 is about 22473.3201819402. The cubic root of 505050120 is about 796.3637681468.

The spelling of 505050120 in words is "five hundred five million, fifty thousand, one hundred twenty".