212311120 has 120 divisors (see below), whose sum is σ = 588665448. Its totient is φ = 70963200.

The previous prime is 212311103. The next prime is 212311129. The reversal of 212311120 is 21113212.

It can be written as a sum of positive squares in 4 ways, for example, as 17875984 + 194435136 = 4228^2 + 13944^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 212311120.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212311129) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 160060 + ... + 161380.

Almost surely, 2^212311120 is an apocalyptic number.

212311120 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 212311120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (294332724).

212311120 is an abundant number, since it is smaller than the sum of its proper divisors (376354328).

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

212311120 is a wasteful number, since it uses less digits than its factorization.

212311120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1389 (or 1376 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 13.

The square root of 212311120 is about 14570.8997663151. The cubic root of 212311120 is about 596.5647395497.

Adding to 212311120 its reverse (21113212), we get a palindrome (233424332).

The spelling of 212311120 in words is "two hundred twelve million, three hundred eleven thousand, one hundred twenty".