212135120 has 40 divisors (see below), whose sum is σ = 498317064. Its totient is φ = 83976192.

The previous prime is 212135117. The next prime is 212135167. The reversal of 212135120 is 21531212.

It is a happy number.

212135120 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 60155536 + 151979584 = 7756^2 + 12328^2 .

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

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 7 ways as a sum of consecutive naturals, for example, 5909 + ... + 21428.

Almost surely, 2^212135120 is an apocalyptic number.

212135120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212135120 is an abundant number, since it is smaller than the sum of its proper divisors (286181944).

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

212135120 is a wasteful number, since it uses less digits than its factorization.

212135120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27447 (or 27441 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 17.

The square root of 212135120 is about 14564.8590793045. The cubic root of 212135120 is about 596.3998487984.

Adding to 212135120 its reverse (21531212), we get a palindrome (233666332).

The spelling of 212135120 in words is "two hundred twelve million, one hundred thirty-five thousand, one hundred twenty".