212240000 has 160 divisors (see below), whose sum is σ = 605431200. Its totient is φ = 72576000.

The previous prime is 212239999. The next prime is 212240003. The reversal of 212240000 is 42212.

It is a tau number, because it is divible by the number of its divisors (160).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212240003) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 559811 + ... + 560189.

It is an arithmetic number, because the mean of its divisors is an integer number (3783945).

Almost surely, 2^212240000 is an apocalyptic number.

212240000 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 212240000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (302715600).

212240000 is an abundant number, since it is smaller than the sum of its proper divisors (393191200).

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

212240000 is an frugal number, since it uses more digits than its factorization.

212240000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 420 (or 393 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 11.

The square root of 212240000 is about 14568.4590811795. The cubic root of 212240000 is about 596.4981196719.

Adding to 212240000 its reverse (42212), we get a palindrome (212282212).

The spelling of 212240000 in words is "two hundred twelve million, two hundred forty thousand".