212320000 has 90 divisors (see below), whose sum is σ = 529992848. Its totient is φ = 84864000.

The previous prime is 212319979. The next prime is 212320001. The reversal of 212320000 is 23212.

212320000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212320001) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 159337 + ... + 160663.

Almost surely, 2^212320000 is an apocalyptic number.

212320000 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 212320000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (264996424).

212320000 is an abundant number, since it is smaller than the sum of its proper divisors (317672848).

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

212320000 is an frugal number, since it uses more digits than its factorization.

212320000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1363 (or 1334 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 10.

The square root of 212320000 is about 14571.2044800696. The cubic root of 212320000 is about 596.5730566224.

Adding to 212320000 its reverse (23212), we get a palindrome (212343212).

The spelling of 212320000 in words is "two hundred twelve million, three hundred twenty thousand".