212112160 has 48 divisors (see below), whose sum is σ = 539667576. Its totient is φ = 78317568.

The previous prime is 212112091. The next prime is 212112161. The reversal of 212112160 is 61211212.

It can be written as a sum of positive squares in 4 ways, for example, as 86044176 + 126067984 = 9276^2 + 11228^2 .

It is a Harshad number since it is a multiple of its sum of digits (16).

It is not an unprimeable number, because it can be changed into a prime (212112161) 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, 48909 + ... + 53068.

Almost surely, 2^212112160 is an apocalyptic number.

212112160 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212112160 is an abundant number, since it is smaller than the sum of its proper divisors (327555416).

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

212112160 is a wasteful number, since it uses less digits than its factorization.

212112160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 102005 (or 101997 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 16.

The square root of 212112160 is about 14564.0708594816. The cubic root of 212112160 is about 596.3783313263.

Adding to 212112160 its reverse (61211212), we get a palindrome (273323372).

The spelling of 212112160 in words is "two hundred twelve million, one hundred twelve thousand, one hundred sixty".