211201210112112 has 240 divisors, whose sum is σ = 649238684814720. Its totient is φ = 63561639360000.

The previous prime is 211201210112071. The next prime is 211201210112177. The reversal of 211201210112112 is 211211012102112.

It is a happy number.

211201210112112 is a `hidden beast` number, since 211 + 20 + 1 + 210 + 11 + 211 + 2 = 666.

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

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 137196214 + ... + 138727082.

It is an arithmetic number, because the mean of its divisors is an integer number (2705161186728).

Almost surely, 2^{211201210112112} is an apocalyptic number.

211201210112112 is a gapful number since it is divisible by the number (22) 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 211201210112112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (324619342407360).

211201210112112 is an abundant number, since it is smaller than the sum of its proper divisors (438037474702608).

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

211201210112112 is a wasteful number, since it uses less digits than its factorization.

211201210112112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1531492 (or 1531483 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 18.

Adding to 211201210112112 its reverse (211211012102112), we get a palindrome (422412222214224).

The spelling of 211201210112112 in words is "two hundred eleven trillion, two hundred one billion, two hundred ten million, one hundred twelve thousand, one hundred twelve".