211121040 has 160 divisors (see below), whose sum is σ = 710954496. Its totient is φ = 51517440.

The previous prime is 211121021. The next prime is 211121047. The reversal of 211121040 is 40121112.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is not an unprimeable number, because it can be changed into a prime (211121047) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 489625 + ... + 490055.

Almost surely, 2^211121040 is an apocalyptic number.

211121040 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 211121040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (355477248).

211121040 is an abundant number, since it is smaller than the sum of its proper divisors (499833456).

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

211121040 is a wasteful number, since it uses less digits than its factorization.

211121040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 617 (or 611 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

The square root of 211121040 is about 14530.0048176179. The cubic root of 211121040 is about 595.4479972298.

Adding to 211121040 its reverse (40121112), we get a palindrome (251242152).

The spelling of 211121040 in words is "two hundred eleven million, one hundred twenty-one thousand, forty".