212911272 has 144 divisors (see below), whose sum is σ = 694242900. Its totient is φ = 58705920.

The previous prime is 212911271. The next prime is 212911297. The reversal of 212911272 is 272119212.

It can be written as a sum of positive squares in 2 ways, for example, as 212401476 + 509796 = 14574^2 + 714^2 .

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

It is not an unprimeable number, because it can be changed into a prime (212911271) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 101272 + ... + 103352.

Almost surely, 2^212911272 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 212911272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (347121450).

212911272 is an abundant number, since it is smaller than the sum of its proper divisors (481331628).

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

212911272 is a wasteful number, since it uses less digits than its factorization.

212911272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2136 (or 2122 counting only the distinct ones).

The product of its digits is 1008, while the sum is 27.

The square root of 212911272 is about 14591.4794315039. The cubic root of 212911272 is about 597.1263252958.

The spelling of 212911272 in words is "two hundred twelve million, nine hundred eleven thousand, two hundred seventy-two".