211121064 has 192 divisors, whose sum is σ = 721319040. Its totient is φ = 54190080.

The previous prime is 211121063. The next prime is 211121077. The reversal of 211121064 is 460121112.

211121064 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (211121063) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 626304 + ... + 626640.

It is an arithmetic number, because the mean of its divisors is an integer number (3756870).

Almost surely, 2^211121064 is an apocalyptic number.

211121064 is a gapful number since it is divisible by the number (24) 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 211121064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (360659520).

211121064 is an abundant number, since it is smaller than the sum of its proper divisors (510197976).

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

211121064 is a wasteful number, since it uses less digits than its factorization.

211121064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 480 (or 473 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

The square root of 211121064 is about 14530.0056434951. The cubic root of 211121064 is about 595.4480197931.

Adding to 211121064 its reverse (460121112), we get a palindrome (671242176).

The spelling of 211121064 in words is "two hundred eleven million, one hundred twenty-one thousand, sixty-four".