212201072 has 40 divisors (see below), whose sum is σ = 441328896. Its totient is φ = 98482176.

The previous prime is 212201071. The next prime is 212201137. The reversal of 212201072 is 270102212.

It is a Harshad number since it is a multiple of its sum of digits (17).

It is a self number, because there is not a number n which added to its sum of digits gives 212201072.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212201071) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 14513 + ... + 25199.

Almost surely, 2^212201072 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 212201072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (220664448).

212201072 is an abundant number, since it is smaller than the sum of its proper divisors (229127824).

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

212201072 is a wasteful number, since it uses less digits than its factorization.

212201072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10785 (or 10779 counting only the distinct ones).

The product of its (nonzero) digits is 112, while the sum is 17.

The square root of 212201072 is about 14567.1229829366. The cubic root of 212201072 is about 596.4616485408.

Adding to 212201072 its reverse (270102212), we get a palindrome (482303284).

The spelling of 212201072 in words is "two hundred twelve million, two hundred one thousand, seventy-two".