212122764 has 108 divisors (see below), whose sum is σ = 656674200. Its totient is φ = 57407616.

The previous prime is 212122763. The next prime is 212122817. The reversal of 212122764 is 467221212.

212122764 is digitally balanced in base 3 and base 9, because in such bases it contains all the possibile digits an equal number of times.

It is a nude number because it is divisible by every one of its digits.

212122764 is strictly pandigital in base 9.

It is not an unprimeable number, because it can be changed into a prime (212122763) 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 35 ways as a sum of consecutive naturals, for example, 30352 + ... + 36680.

Almost surely, 2^212122764 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 212122764, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (328337100).

212122764 is an abundant number, since it is smaller than the sum of its proper divisors (444551436).

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

212122764 is a wasteful number, since it uses less digits than its factorization.

212122764 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6372 (or 6360 counting only the distinct ones).

The product of its digits is 2688, while the sum is 27.

The square root of 212122764 is about 14564.4349014989. The cubic root of 212122764 is about 596.3882692925.

Adding to 212122764 its reverse (467221212), we get a palindrome (679343976).

The spelling of 212122764 in words is "two hundred twelve million, one hundred twenty-two thousand, seven hundred sixty-four".