211404312 has 96 divisors (see below), whose sum is σ = 660984480. Its totient is φ = 59788800.

The previous prime is 211404311. The next prime is 211404313. The reversal of 211404312 is 213404112.

It is an interprime number because it is at equal distance from previous prime (211404311) and next prime (211404313).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (211404311) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 48828 + ... + 52980.

It is an arithmetic number, because the mean of its divisors is an integer number (6885255).

Almost surely, 2^211404312 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 211404312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (330492240).

211404312 is an abundant number, since it is smaller than the sum of its proper divisors (449580168).

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

211404312 is a wasteful number, since it uses less digits than its factorization.

211404312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4273 (or 4266 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 211404312 is about 14539.7493788579. The cubic root of 211404312 is about 595.7141926500.

Adding to 211404312 its reverse (213404112), we get a palindrome (424808424).

It can be divided in two parts, 21140 and 4312, that added together give a palindrome (25452).

The spelling of 211404312 in words is "two hundred eleven million, four hundred four thousand, three hundred twelve".