212000320 has 224 divisors, whose sum is σ = 617988096. Its totient is φ = 67737600.

The previous prime is 212000311. The next prime is 212000323. The reversal of 212000320 is 23000212.

It is a tau number, because it is divible by the number of its divisors (224).

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

It is a junction number, because it is equal to n+sod(n) for n = 212000297 and 212000306.

It is not an unprimeable number, because it can be changed into a prime (212000323) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2985885 + ... + 2985955.

Almost surely, 2^212000320 is an apocalyptic number.

212000320 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 212000320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (308994048).

212000320 is an abundant number, since it is smaller than the sum of its proper divisors (405987776).

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

212000320 is a wasteful number, since it uses less digits than its factorization.

212000320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 169 (or 159 counting only the distinct ones).

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

The square root of 212000320 is about 14560.2307674020. The cubic root of 212000320 is about 596.2734957859.

Adding to 212000320 its reverse (23000212), we get a palindrome (235000532).

The spelling of 212000320 in words is "two hundred twelve million, three hundred twenty", and thus it is an aban number.