211112121211112 has 96 divisors (see below), whose sum is σ = 459478627755840. Its totient is φ = 90681999936000.

The previous prime is 211112121211099. The next prime is 211112121211171.

211112121211112 is nontrivially palindromic in base 10.

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 55273889 + ... + 58969712.

It is an arithmetic number, because the mean of its divisors is an integer number (4786235705790).

Almost surely, 2^{211112121211112} is an apocalyptic number.

211112121211112 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

211112121211112 is an abundant number, since it is smaller than the sum of its proper divisors (248366506544728).

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

211112121211112 is a wasteful number, since it uses less digits than its factorization.

211112121211112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 114243735 (or 114243720 counting only the distinct ones).

The product of its digits is 32, while the sum is 20.

The spelling of 211112121211112 in words is "two hundred eleven trillion, one hundred twelve billion, one hundred twenty-one million, two hundred eleven thousand, one hundred twelve".