212512032 has 48 divisors (see below), whose sum is σ = 619829280. Its totient is φ = 70837056.

The previous prime is 212512031. The next prime is 212512039. The reversal of 212512032 is 230215212.

212512032 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×212512032² = 90322727489538048, which contains 22 as substring.

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 = 212511996 and 212512014.

It is not an unprimeable number, because it can be changed into a prime (212512031) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 122118 + ... + 123845.

It is an arithmetic number, because the mean of its divisors is an integer number (12913110).

Almost surely, 2^212512032 is an apocalyptic number.

It is an amenable number.

212512032 is an abundant number, since it is smaller than the sum of its proper divisors (407317248).

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

212512032 is a wasteful number, since it uses less digits than its factorization.

212512032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 245982 (or 245968 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 212512032 is about 14577.7924254669. The cubic root of 212512032 is about 596.7528584882.

Adding to 212512032 its reverse (230215212), we get a palindrome (442727244).

The spelling of 212512032 in words is "two hundred twelve million, five hundred twelve thousand, thirty-two".