211072120 has 64 divisors (see below), whose sum is σ = 544190400. Its totient is φ = 72176640.

The previous prime is 211072117. The next prime is 211072151. The reversal of 211072120 is 21270112.

It is a junction number, because it is equal to n+sod(n) for n = 211072094 and 211072103.

It is a congruent number.

It is an unprimeable number.

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, 141780 + ... + 143260.

It is an arithmetic number, because the mean of its divisors is an integer number (8502975).

Almost surely, 2^211072120 is an apocalyptic number.

211072120 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 211072120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (272095200).

211072120 is an abundant number, since it is smaller than the sum of its proper divisors (333118280).

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

211072120 is a wasteful number, since it uses less digits than its factorization.

211072120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2008 (or 2004 counting only the distinct ones).

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

The square root of 211072120 is about 14528.3213070196. The cubic root of 211072120 is about 595.4020021832.

The spelling of 211072120 in words is "two hundred eleven million, seventy-two thousand, one hundred twenty".