211141120 has 80 divisors (see below), whose sum is σ = 514217088. Its totient is φ = 83128320.

The previous prime is 211141111. The next prime is 211141121. The reversal of 211141120 is 21141112.

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

It is a self number, because there is not a number n which added to its sum of digits gives 211141120.

It is not an unprimeable number, because it can be changed into a prime (211141121) 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, 170905 + ... + 172135.

Almost surely, 2^211141120 is an apocalyptic number.

211141120 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 211141120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (257108544).

211141120 is an abundant number, since it is smaller than the sum of its proper divisors (303075968).

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

211141120 is an equidigital number, since it uses as much as digits as its factorization.

211141120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1321 (or 1305 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 13.

The square root of 211141120 is about 14530.6957851302. The cubic root of 211141120 is about 595.4668745790.

Adding to 211141120 its reverse (21141112), we get a palindrome (232282232).

The spelling of 211141120 in words is "two hundred eleven million, one hundred forty-one thousand, one hundred twenty".