211121020 has 48 divisors (see below), whose sum is σ = 490912128. Its totient is φ = 75620160.

The previous prime is 211121003. The next prime is 211121021. The reversal of 211121020 is 20121112.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a junction number, because it is equal to n+sod(n) for n = 211120988 and 211121006.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (211121021) 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, 7579 + ... + 21901.

It is an arithmetic number, because the mean of its divisors is an integer number (10227336).

Almost surely, 2^211121020 is an apocalyptic number.

211121020 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 211121020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (245456064).

211121020 is an abundant number, since it is smaller than the sum of its proper divisors (279791108).

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

211121020 is a wasteful number, since it uses less digits than its factorization.

211121020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14410 (or 14408 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

The square root of 211121020 is about 14530.0041293869. The cubic root of 211121020 is about 595.4479784271.

Adding to 211121020 its reverse (20121112), we get a palindrome (231242132).

The spelling of 211121020 in words is "two hundred eleven million, one hundred twenty-one thousand, twenty".