211311012072 has 128 divisors (see below), whose sum is σ = 544256593920. Its totient is φ = 68343264000.

The previous prime is 211311012071. The next prime is 211311012079. The reversal of 211311012072 is 270210113112.

It is not an unprimeable number, because it can be changed into a prime (211311012071) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 40862047 + ... + 40867217.

It is an arithmetic number, because the mean of its divisors is an integer number (4252004640).

Almost surely, 2^211311012072 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 211311012072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (272128296960).

211311012072 is an abundant number, since it is smaller than the sum of its proper divisors (332945581848).

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

211311012072 is a wasteful number, since it uses less digits than its factorization.

211311012072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5615 (or 5611 counting only the distinct ones).

The product of its (nonzero) digits is 168, while the sum is 21.

Adding to 211311012072 its reverse (270210113112), we get a palindrome (481521125184).

It can be divided in two parts, 21131 and 1012072, that added together give a triangular number (1033203 = T₁₄₃₇).

The spelling of 211311012072 in words is "two hundred eleven billion, three hundred eleven million, twelve thousand, seventy-two".