211120020 has 150 divisors (see below), whose sum is σ = 699085002. Its totient is φ = 53335584.

The previous prime is 211120009. The next prime is 211120033. The reversal of 211120020 is 20021112.

It can be written as a sum of positive squares in only one way, i.e., 168896016 + 42224004 = 12996^2 + 6498^2 .

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 211119984 and 211120011.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 49 ways as a sum of consecutive naturals, for example, 11111571 + ... + 11111589.

Almost surely, 2^211120020 is an apocalyptic number.

211120020 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 211120020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (349542501).

211120020 is an abundant number, since it is smaller than the sum of its proper divisors (487964982).

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

211120020 is an frugal number, since it uses more digits than its factorization.

211120020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 97 (or 29 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

The square root of 211120020 is about 14529.9697177936. The cubic root of 211120020 is about 595.4470382887.

Adding to 211120020 its reverse (20021112), we get a palindrome (231141132).

The spelling of 211120020 in words is "two hundred eleven million, one hundred twenty thousand, twenty".