212118720 has 224 divisors, whose sum is σ = 750539520. Its totient is φ = 50319360.

The previous prime is 212118703. The next prime is 212118721. The reversal of 212118720 is 27811212.

212118720 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212118721) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 559491 + ... + 559869.

Almost surely, 2^212118720 is an apocalyptic number.

212118720 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 212118720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (375269760).

212118720 is an abundant number, since it is smaller than the sum of its proper divisors (538420800).

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

212118720 is a wasteful number, since it uses less digits than its factorization.

212118720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 463 (or 453 counting only the distinct ones).

The product of its (nonzero) digits is 448, while the sum is 24.

The square root of 212118720 is about 14564.2960694982. The cubic root of 212118720 is about 596.3844793339.

Adding to 212118720 its reverse (27811212), we get a palindrome (239929932).

The spelling of 212118720 in words is "two hundred twelve million, one hundred eighteen thousand, seven hundred twenty".