212112120 has 256 divisors, whose sum is σ = 736750080. Its totient is φ = 48384000.

The previous prime is 212112091. The next prime is 212112161. The reversal of 212112120 is 21211212.

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

It is a junction number, because it is equal to n+sod(n) for n = 212112096 and 212112105.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2100070 + ... + 2100170.

It is an arithmetic number, because the mean of its divisors is an integer number (2877930).

Almost surely, 2^212112120 is an apocalyptic number.

212112120 is a gapful number since it is divisible by the number (20) 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 212112120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (368375040).

212112120 is an abundant number, since it is smaller than the sum of its proper divisors (524637960).

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

212112120 is a wasteful number, since it uses less digits than its factorization.

212112120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 206 (or 202 counting only the distinct ones).

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

The square root of 212112120 is about 14564.0694862391. The cubic root of 212112120 is about 596.3782938380.

Adding to 212112120 its reverse (21211212), we get a palindrome (233323332).

It can be divided in two parts, 2121 and 12120, that added together give a palindrome (14241).

The spelling of 212112120 in words is "two hundred twelve million, one hundred twelve thousand, one hundred twenty".