212110320 has 80 divisors (see below), whose sum is σ = 662814720. Its totient is φ = 56109312.

The previous prime is 212110303. The next prime is 212110331. The reversal of 212110320 is 23011212.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 212110296 and 212110305.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 27001 + ... + 33959.

It is an arithmetic number, because the mean of its divisors is an integer number (8285184).

Almost surely, 2^212110320 is an apocalyptic number.

212110320 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 212110320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (331407360).

212110320 is an abundant number, since it is smaller than the sum of its proper divisors (450704400).

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

212110320 is a wasteful number, since it uses less digits than its factorization.

212110320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7102 (or 7096 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

The square root of 212110320 is about 14564.0076901930. The cubic root of 212110320 is about 596.3766068624.

Adding to 212110320 its reverse (23011212), we get a palindrome (235121532).

The spelling of 212110320 in words is "two hundred twelve million, one hundred ten thousand, three hundred twenty".