212000000 has 126 divisors (see below), whose sum is σ = 538938414. Its totient is φ = 83200000.

The previous prime is 211999969. The next prime is 212000003. The reversal of 212000000 is 212.

It can be written as a sum of positive squares in 7 ways, for example, as 210598144 + 1401856 = 14512^2 + 1184^2 .

It is a Harshad number since it is a multiple of its sum of digits (5).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212000003) 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 13 ways as a sum of consecutive naturals, for example, 3999974 + ... + 4000026.

It is an arithmetic number, because the mean of its divisors is an integer number (4277289).

Almost surely, 2^212000000 is an apocalyptic number.

212000000 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 212000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (269469207).

212000000 is an abundant number, since it is smaller than the sum of its proper divisors (326938414).

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

212000000 is an frugal number, since it uses more digits than its factorization.

212000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 99 (or 60 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 5.

The square root of 212000000 is about 14560.2197785610. The cubic root of 212000000 is about 596.2731957744.

Adding to 212000000 its reverse (212), we get a palindrome (212000212).

Multiplying 212000000 by its reverse (212), we get a square (44944000000 = 212000²).

212000000 divided by its reverse (212) gives a 6-th power (1000000 = 10⁶).

The spelling of 212000000 in words is "two hundred twelve million", and thus it is an aban number.