213122112 has 56 divisors (see below), whose sum is σ = 644444736. Its totient is φ = 60891648.

The previous prime is 213122099. The next prime is 213122137. The reversal of 213122112 is 211221312.

213122112 is digitally balanced in base 2 and base 3, because in such bases 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 (56).

It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 213122091 and 213122100.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 77943 + ... + 80630.

Almost surely, 2^213122112 is an apocalyptic number.

It is an amenable number.

213122112 is an abundant number, since it is smaller than the sum of its proper divisors (431322624).

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

213122112 is a wasteful number, since it uses less digits than its factorization.

213122112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 158595 (or 158585 counting only the distinct ones).

The product of its digits is 48, while the sum is 15.

The square root of 213122112 is about 14598.7024080909. The cubic root of 213122112 is about 597.3233660291.

Adding to 213122112 its reverse (211221312), we get a palindrome (424343424).

The spelling of 213122112 in words is "two hundred thirteen million, one hundred twenty-two thousand, one hundred twelve".