212223120 has 80 divisors (see below), whose sum is σ = 675700800. Its totient is φ = 55060992.

The previous prime is 212223097. The next prime is 212223133. The reversal of 212223120 is 21322212.

It is a happy number.

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 (15).

It is a self number, because there is not a number n which added to its sum of digits gives 212223120.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3070 + ... + 20829.

It is an arithmetic number, because the mean of its divisors is an integer number (8446260).

Almost surely, 2^212223120 is an apocalyptic number.

212223120 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 212223120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (337850400).

212223120 is an abundant number, since it is smaller than the sum of its proper divisors (463477680).

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

212223120 is a wasteful number, since it uses less digits than its factorization.

212223120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23952 (or 23946 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

The square root of 212223120 is about 14567.8797359122. The cubic root of 212223120 is about 596.4823055696.

Adding to 212223120 its reverse (21322212), we get a palindrome (233545332).

It can be divided in two parts, 21222 and 3120, that added together give a palindrome (24342).

The spelling of 212223120 in words is "two hundred twelve million, two hundred twenty-three thousand, one hundred twenty".