211027120 has 40 divisors (see below), whose sum is σ = 519502464. Its totient is φ = 79444992.

The previous prime is 211027109. The next prime is 211027127. The reversal of 211027120 is 21720112.

211027120 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 211027094 and 211027103.

It is not an unprimeable number, because it can be changed into a prime (211027127) 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, 76224 + ... + 78943.

Almost surely, 2^211027120 is an apocalyptic number.

211027120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

211027120 is an abundant number, since it is smaller than the sum of its proper divisors (308475344).

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

211027120 is a wasteful number, since it uses less digits than its factorization.

211027120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 155197 (or 155191 counting only the distinct ones).

The product of its (nonzero) digits is 56, while the sum is 16.

The square root of 211027120 is about 14526.7725252377. The cubic root of 211027120 is about 595.3596864819.

Adding to 211027120 its reverse (21720112), we get a palindrome (232747232).

The spelling of 211027120 in words is "two hundred eleven million, twenty-seven thousand, one hundred twenty".