112332242233211 has 48 divisors (see below), whose sum is σ = 152028605851584. Its totient is φ = 80765296128000.

The previous prime is 112332242233207. The next prime is 112332242233247.

112332242233211 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 112332242233211 - 2² = 112332242233207 is a prime.

It is a super-2 number, since 2×112332242233211² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (112332242533211) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 24788171 + ... + 28967531.

It is an arithmetic number, because the mean of its divisors is an integer number (3167262621908).

Almost surely, 2^{112332242233211} is an apocalyptic number.

112332242233211 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

112332242233211 is a deficient number, since it is larger than the sum of its proper divisors (39696363618373).

112332242233211 is a wasteful number, since it uses less digits than its factorization.

112332242233211 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4181844 (or 4181833 counting only the distinct ones).

The product of its digits is 20736, while the sum is 32.

The spelling of 112332242233211 in words is "one hundred twelve trillion, three hundred thirty-two billion, two hundred forty-two million, two hundred thirty-three thousand, two hundred eleven".