211040312 has 64 divisors (see below), whose sum is σ = 494346240. Its totient is φ = 82368000.

The previous prime is 211040251. The next prime is 211040317. The reversal of 211040312 is 213040112.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (211040317) 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 15 ways as a sum of consecutive naturals, for example, 25937 + ... + 33087.

It is an arithmetic number, because the mean of its divisors is an integer number (7724160).

Almost surely, 2^211040312 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 211040312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (247173120).

211040312 is an abundant number, since it is smaller than the sum of its proper divisors (283305928).

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

211040312 is a wasteful number, since it uses less digits than its factorization.

211040312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7212 (or 7208 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 14.

The square root of 211040312 is about 14527.2265763290. The cubic root of 211040312 is about 595.3720921880.

Adding to 211040312 its reverse (213040112), we get a palindrome (424080424).

The spelling of 211040312 in words is "two hundred eleven million, forty thousand, three hundred twelve".