211123120 has 80 divisors (see below), whose sum is σ = 541027872. Its totient is φ = 76124160.

The previous prime is 211123067. The next prime is 211123123. The reversal of 211123120 is 21321112.

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 (13).

It is a self number, because there is not a number n which added to its sum of digits gives 211123120.

It is not an unprimeable number, because it can be changed into a prime (211123123) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 42360 + ... + 47080.

Almost surely, 2^211123120 is an apocalyptic number.

211123120 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 211123120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (270513936).

211123120 is an abundant number, since it is smaller than the sum of its proper divisors (329904752).

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

211123120 is a wasteful number, since it uses less digits than its factorization.

211123120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4790 (or 4784 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 13.

The square root of 211123120 is about 14530.0763934674. The cubic root of 211123120 is about 595.4499527080.

Adding to 211123120 its reverse (21321112), we get a palindrome (232444232).

The spelling of 211123120 in words is "two hundred eleven million, one hundred twenty-three thousand, one hundred twenty".