212120500 has 48 divisors (see below), whose sum is σ = 479278800. Its totient is φ = 81916800.

The previous prime is 212120477. The next prime is 212120501. The reversal of 212120500 is 5021212.

212120500 is digitally balanced in base 2, 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 8 ways, for example, as 102373924 + 109746576 = 10118^2 + 10476^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212120501) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7186 + ... + 21814.

It is an arithmetic number, because the mean of its divisors is an integer number (9984975).

Almost surely, 2^212120500 is an apocalyptic number.

212120500 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 212120500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (239639400).

212120500 is an abundant number, since it is smaller than the sum of its proper divisors (267158300).

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

212120500 is a wasteful number, since it uses less digits than its factorization.

212120500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14677 (or 14665 counting only the distinct ones).

The product of its (nonzero) digits is 40, while the sum is 13.

The square root of 212120500 is about 14564.3571777130. The cubic root of 212120500 is about 596.3861475214.

Adding to 212120500 its reverse (5021212), we get a palindrome (217141712).

The spelling of 212120500 in words is "two hundred twelve million, one hundred twenty thousand, five hundred".