212145252 has 48 divisors (see below), whose sum is σ = 542502912. Its totient is φ = 63989280.

The previous prime is 212145239. The next prime is 212145259. The reversal of 212145252 is 252541212.

212145252 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×212145252² = 90011215892287008, which contains 22 as substring.

It is an alternating number because its digits alternate between even and odd.

It is not an unprimeable number, because it can be changed into a prime (212145259) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 25833 + ... + 33039.

It is an arithmetic number, because the mean of its divisors is an integer number (11302144).

Almost surely, 2^212145252 is an apocalyptic number.

212145252 is a gapful number since it is divisible by the number (22) 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 212145252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (271251456).

212145252 is an abundant number, since it is smaller than the sum of its proper divisors (330357660).

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

212145252 is a wasteful number, since it uses less digits than its factorization.

212145252 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7448 (or 7446 counting only the distinct ones).

The product of its digits is 1600, while the sum is 24.

The square root of 212145252 is about 14565.2068986335. The cubic root of 212145252 is about 596.4093437327.

Adding to 212145252 its reverse (252541212), we get a palindrome (464686464).

The spelling of 212145252 in words is "two hundred twelve million, one hundred forty-five thousand, two hundred fifty-two".