212612224 has 128 divisors (see below), whose sum is σ = 493516800. Its totient is φ = 90316800.

The previous prime is 212612221. The next prime is 212612233. The reversal of 212612224 is 422216212.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 212612195 and 212612204.

It is not an unprimeable number, because it can be changed into a prime (212612221) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1674049 + ... + 1674175.

It is an arithmetic number, because the mean of its divisors is an integer number (3855600).

Almost surely, 2^212612224 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 212612224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (246758400).

212612224 is an abundant number, since it is smaller than the sum of its proper divisors (280904576).

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

212612224 is a wasteful number, since it uses less digits than its factorization.

212612224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 222 (or 210 counting only the distinct ones).

The product of its digits is 768, while the sum is 22.

The square root of 212612224 is about 14581.2284804813. The cubic root of 212612224 is about 596.8466264630.

Adding to 212612224 its reverse (422216212), we get a palindrome (634828436).

The spelling of 212612224 in words is "two hundred twelve million, six hundred twelve thousand, two hundred twenty-four".