212120200 has 48 divisors (see below), whose sum is σ = 498109860. Its totient is φ = 84000000.

The previous prime is 212120189. The next prime is 212120201. The reversal of 212120200 is 2021212.

It can be written as a sum of positive squares in 6 ways, for example, as 115648516 + 96471684 = 10754^2 + 9822^2 .

It is a Harshad number since it is a multiple of its sum of digits (10).

It is not an unprimeable number, because it can be changed into a prime (212120201) 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 11 ways as a sum of consecutive naturals, for example, 14950 + ... + 25450.

Almost surely, 2^212120200 is an apocalyptic number.

212120200 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 212120200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (249054930).

212120200 is an abundant number, since it is smaller than the sum of its proper divisors (285989660).

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

212120200 is a wasteful number, since it uses less digits than its factorization.

212120200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10618 (or 10609 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 10.

The square root of 212120200 is about 14564.3468785936. The cubic root of 212120200 is about 596.3858663669.

Adding to 212120200 its reverse (2021212), we get a palindrome (214141412).

The spelling of 212120200 in words is "two hundred twelve million, one hundred twenty thousand, two hundred".