512120 has 64 divisors (see below), whose sum is σ = 1382400. Its totient is φ = 167040.

The previous prime is 512101. The next prime is 512137. The reversal of 512120 is 21215.

512120 = T₃₄ + T₃₅ + ... + T₁₄₅.

512120 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

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, 8651 + ... + 8709.

It is an arithmetic number, because the mean of its divisors is an integer number (21600).

2⁵¹²¹²⁰ 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 512120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (691200).

512120 is an abundant number, since it is smaller than the sum of its proper divisors (870280).

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

512120 is a wasteful number, since it uses less digits than its factorization.

512120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 108 (or 104 counting only the distinct ones).

The product of its (nonzero) digits is 20, while the sum is 11.

The square root of 512120 is about 715.6256004364. The cubic root of 512120 is about 80.0062495118.

Adding to 512120 its reverse (21215), we get a palindrome (533335).

The spelling of 512120 in words is "five hundred twelve thousand, one hundred twenty".