211312040 has 128 divisors (see below), whose sum is σ = 536544000. Its totient is φ = 74477568.

The previous prime is 211311983. The next prime is 211312043. The reversal of 211312040 is 40213112.

It is not an unprimeable number, because it can be changed into a prime (211312043) 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, 922646 + ... + 922874.

It is an arithmetic number, because the mean of its divisors is an integer number (4191750).

Almost surely, 2^211312040 is an apocalyptic number.

211312040 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 211312040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (268272000).

211312040 is an abundant number, since it is smaller than the sum of its proper divisors (325231960).

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

211312040 is a wasteful number, since it uses less digits than its factorization.

211312040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 339 (or 335 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 14.

The square root of 211312040 is about 14536.5759379573. The cubic root of 211312040 is about 595.6275092412.

Adding to 211312040 its reverse (40213112), we get a palindrome (251525152).

The spelling of 211312040 in words is "two hundred eleven million, three hundred twelve thousand, forty".