211013312112 has 80 divisors (see below), whose sum is σ = 607597435680. Its totient is φ = 70115839488.

The previous prime is 211013312077. The next prime is 211013312117. The reversal of 211013312112 is 211213310112.

211013312112 is a `hidden beast` number, since 21 + 101 + 331 + 211 + 2 = 666.

211013312112 is digitally balanced in base 2, because in such base 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 (211013312117) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 633493 + ... + 907380.

It is an arithmetic number, because the mean of its divisors is an integer number (7594967946).

Almost surely, 2^211013312112 is an apocalyptic number.

It is an amenable number.

211013312112 is an abundant number, since it is smaller than the sum of its proper divisors (396584123568).

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

211013312112 is a wasteful number, since it uses less digits than its factorization.

211013312112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1541207 (or 1541195 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

Adding to 211013312112 its reverse (211213310112), we get a palindrome (422226622224).

The spelling of 211013312112 in words is "two hundred eleven billion, thirteen million, three hundred twelve thousand, one hundred twelve".