112244121442211 has 24 divisors (see below), whose sum is σ = 124223756664000. Its totient is φ = 101339418660480.

The previous prime is 112244121442183. The next prime is 112244121442213.

112244121442211 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 112244121442211 - 2³⁴ = 112226941573027 is a prime.

It is a super-2 number, since 2×112244121442211² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (112244121442213) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 36497135 + ... + 39452871.

It is an arithmetic number, because the mean of its divisors is an integer number (5175989861000).

Almost surely, 2^{112244121442211} is an apocalyptic number.

112244121442211 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

112244121442211 is a deficient number, since it is larger than the sum of its proper divisors (11979635221789).

112244121442211 is a wasteful number, since it uses less digits than its factorization.

112244121442211 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2957915 (or 2957904 counting only the distinct ones).

The product of its digits is 8192, while the sum is 32.

The spelling of 112244121442211 in words is "one hundred twelve trillion, two hundred forty-four billion, one hundred twenty-one million, four hundred forty-two thousand, two hundred eleven".