212111120 has 40 divisors (see below), whose sum is σ = 531096216. Its totient is φ = 78317568.

The previous prime is 212111111. The next prime is 212111147. The reversal of 212111120 is 21111212.

It can be written as a sum of positive squares in 4 ways, for example, as 31047184 + 181063936 = 5572^2 + 13456^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×212111120² = 89982254455308800, which contains 22 as substring.

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 7 ways as a sum of consecutive naturals, for example, 100937 + ... + 103016.

Almost surely, 2^212111120 is an apocalyptic number.

212111120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212111120 is an abundant number, since it is smaller than the sum of its proper divisors (318985096).

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

212111120 is a wasteful number, since it uses less digits than its factorization.

212111120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 203979 (or 203973 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 11.

The square root of 212111120 is about 14564.0351551347. The cubic root of 212111120 is about 596.3773566305.

Adding to 212111120 its reverse (21111212), we get a palindrome (233222332).

The spelling of 212111120 in words is "two hundred twelve million, one hundred eleven thousand, one hundred twenty".