112111121111211 has 72 divisors (see below), whose sum is σ = 173503172239488. Its totient is φ = 69678092160000.

The previous prime is 112111121111203. The next prime is 112111121111233.

112111121111211 is a `hidden beast` number, since 1 + 121 + 111 + 211 + 11 + 211 = 666.

112111121111211 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 112111121111211 - 2³ = 112111121111203 is a prime.

112111121111211 is a modest number, since divided by 1121111211 gives 11211 as remainder.

It is not an unprimeable number, because it can be changed into a prime (112111121111261) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 37123971 + ... + 40030131.

It is an arithmetic number, because the mean of its divisors is an integer number (2409766281104).

Almost surely, 2^{112111121111211} is an apocalyptic number.

112111121111211 is a deficient number, since it is larger than the sum of its proper divisors (61392051128277).

112111121111211 is a wasteful number, since it uses less digits than its factorization.

112111121111211 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2906373 (or 2906333 counting only the distinct ones).

The product of its digits is 8, while the sum is 18.

It can be divided in two parts, 1121111211 and 11211, that multiplied together give a palindrome (12568777786521).

The spelling of 112111121111211 in words is "one hundred twelve trillion, one hundred eleven billion, one hundred twenty-one million, one hundred eleven thousand, two hundred eleven".