212104224 has 96 divisors (see below), whose sum is σ = 623831040. Its totient is φ = 70108416.

The previous prime is 212104213. The next prime is 212104237. The reversal of 212104224 is 422401212.

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

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 212104197 and 212104206.

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, 108762 + ... + 110694.

It is an arithmetic number, because the mean of its divisors is an integer number (6498240).

Almost surely, 2^212104224 is an apocalyptic number.

212104224 is a gapful number since it is divisible by the number (24) 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 212104224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (311915520).

212104224 is an abundant number, since it is smaller than the sum of its proper divisors (411726816).

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

212104224 is a wasteful number, since it uses less digits than its factorization.

212104224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2079 (or 2065 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

The square root of 212104224 is about 14563.7984056358. The cubic root of 212104224 is about 596.3708935672.

Adding to 212104224 its reverse (422401212), we get a palindrome (634505436).

The spelling of 212104224 in words is "two hundred twelve million, one hundred four thousand, two hundred twenty-four".