212111328 has 96 divisors (see below), whose sum is σ = 654175872. Its totient is φ = 59328000.

The previous prime is 212111323. The next prime is 212111369. The reversal of 212111328 is 823111212.

It is a tau number, because it is divible by the number of its divisors (96).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212111323) by changing a digit.

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, 6003 + ... + 21453.

It is an arithmetic number, because the mean of its divisors is an integer number (6814332).

Almost surely, 2^212111328 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 212111328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (327087936).

212111328 is an abundant number, since it is smaller than the sum of its proper divisors (442064544).

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

212111328 is a wasteful number, since it uses less digits than its factorization.

212111328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15488 (or 15480 counting only the distinct ones).

The product of its digits is 192, while the sum is 21.

The square root of 212111328 is about 14564.0422960111. The cubic root of 212111328 is about 596.3775515699.

The spelling of 212111328 in words is "two hundred twelve million, one hundred eleven thousand, three hundred twenty-eight".