212120112 has 80 divisors (see below), whose sum is σ = 569963520. Its totient is φ = 67919616.

The previous prime is 212120107. The next prime is 212120137. The reversal of 212120112 is 211021212.

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

It is an unprimeable number.

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, 146689 + ... + 148127.

It is an arithmetic number, because the mean of its divisors is an integer number (7124544).

Almost surely, 2^212120112 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 212120112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (284981760).

212120112 is an abundant number, since it is smaller than the sum of its proper divisors (357843408).

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

212120112 is a wasteful number, since it uses less digits than its factorization.

212120112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1570 (or 1564 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

The square root of 212120112 is about 14564.3438575172. The cubic root of 212120112 is about 596.3857838948.

Adding to 212120112 its reverse (211021212), we get a palindrome (423141324).

The spelling of 212120112 in words is "two hundred twelve million, one hundred twenty thousand, one hundred twelve".