112142242241211 has 64 divisors (see below), whose sum is σ = 186484672281600. Its totient is φ = 58366399910400.

The previous prime is 112142242241179. The next prime is 112142242241213.

112142242241211 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 112142242241211 - 2⁵ = 112142242241179 is a prime.

It is not an unprimeable number, because it can be changed into a prime (112142242241213) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1138440 + ... + 15019338.

It is an arithmetic number, because the mean of its divisors is an integer number (2913823004400).

Almost surely, 2^{112142242241211} is an apocalyptic number.

112142242241211 is a deficient number, since it is larger than the sum of its proper divisors (74342430040389).

112142242241211 is a wasteful number, since it uses less digits than its factorization.

112142242241211 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13881316.

The product of its digits is 4096, while the sum is 30.

The spelling of 112142242241211 in words is "one hundred twelve trillion, one hundred forty-two billion, two hundred forty-two million, two hundred forty-one thousand, two hundred eleven".