112241141142211 has 16 divisors (see below), whose sum is σ = 119789852198400. Its totient is φ = 104859837295200.

The previous prime is 112241141142131. The next prime is 112241141142223.

112241141142211 is nontrivially palindromic in base 10.

It is a cyclic number.

It is not a de Polignac number, because 112241141142211 - 2¹⁵ = 112241141109443 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 112241141142211.

It is not an unprimeable number, because it can be changed into a prime (112241141148211) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 44308225 + ... + 46772866.

It is an arithmetic number, because the mean of its divisors is an integer number (7486865762400).

Almost surely, 2^{112241141142211} is an apocalyptic number.

112241141142211 is a deficient number, since it is larger than the sum of its proper divisors (7548711056189).

112241141142211 is an equidigital number, since it uses as much as digits as its factorization.

112241141142211 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 91082010.

The product of its digits is 1024, while the sum is 28.

The spelling of 112241141142211 in words is "one hundred twelve trillion, two hundred forty-one billion, one hundred forty-one million, one hundred forty-two thousand, two hundred eleven".