511212 has 48 divisors (see below), whose sum is σ = 1340640. Its totient is φ = 150528.

The previous prime is 511211. The next prime is 511213. The reversal of 511212 is 212115.

It is an interprime number because it is at equal distance from previous prime (511211) and next prime (511213).

It is a super-2 number, since 2×511212² = 522675417888, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a nialpdrome in base 14.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (511211) 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, 4468 + ... + 4580.

It is an arithmetic number, because the mean of its divisors is an integer number (27930).

2⁵¹¹²¹² is an apocalyptic number.

511212 is a gapful number since it is divisible by the number (52) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 511212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (670320).

511212 is an abundant number, since it is smaller than the sum of its proper divisors (829428).

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

511212 is a wasteful number, since it uses less digits than its factorization.

511212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 162 (or 160 counting only the distinct ones).

The product of its digits is 20, while the sum is 12.

The square root of 511212 is about 714.9909090331. The cubic root of 511212 is about 79.9589372601.

Adding to 511212 its reverse (212115), we get a palindrome (723327).

The spelling of 511212 in words is "five hundred eleven thousand, two hundred twelve".