211431120 has 80 divisors (see below), whose sum is σ = 658469760. Its totient is φ = 56120832.

The previous prime is 211431119. The next prime is 211431127. The reversal of 211431120 is 21134112.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 211431120.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (211431127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 53037 + ... + 56883.

It is an arithmetic number, because the mean of its divisors is an integer number (8230872).

Almost surely, 2^211431120 is an apocalyptic number.

211431120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 211431120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (329234880).

211431120 is an abundant number, since it is smaller than the sum of its proper divisors (447038640).

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

211431120 is a wasteful number, since it uses less digits than its factorization.

211431120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4092 (or 4086 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

The square root of 211431120 is about 14540.6712362257. The cubic root of 211431120 is about 595.7393722548.

Adding to 211431120 its reverse (21134112), we get a palindrome (232565232).

The spelling of 211431120 in words is "two hundred eleven million, four hundred thirty-one thousand, one hundred twenty".