211112111210112 has 256 divisors, whose sum is σ = 735054972518400. Its totient is φ = 58372012108800.

The previous prime is 211112111210101. The next prime is 211112111210153. The reversal of 211112111210112 is 211012111211112.

211112111210112 is a `hidden beast` number, since 21 + 111 + 211 + 1 + 210 + 112 = 666.

It is a super-2 number, since 2×211112111210112² (a number of 29 digits) contains 22 as substring.

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

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 31 ways as a sum of consecutive naturals, for example, 140000464 + ... + 141500367.

It is an arithmetic number, because the mean of its divisors is an integer number (2871308486400).

Almost surely, 2^{211112111210112} is an apocalyptic number.

It is an amenable number.

211112111210112 is an abundant number, since it is smaller than the sum of its proper divisors (523942861308288).

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

211112111210112 is a wasteful number, since it uses less digits than its factorization.

211112111210112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 281500892 (or 281500874 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 18.

Adding to 211112111210112 its reverse (211012111211112), we get a palindrome (422124222421224).

The spelling of 211112111210112 in words is "two hundred eleven trillion, one hundred twelve billion, one hundred eleven million, two hundred ten thousand, one hundred twelve".