112409904211 has 8 divisors (see below), whose sum is σ = 122891580864. Its totient is φ = 101971993320.

The previous prime is 112409904199. The next prime is 112409904223.

112409904211 is nontrivially palindromic in base 10.

It is an interprime number because it is at equal distance from previous prime (112409904199) and next prime (112409904223).

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 112409904211 - 2²⁵ = 112376349779 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (112409904251) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 10936065 + ... + 10946338.

It is an arithmetic number, because the mean of its divisors is an integer number (15361447608).

Almost surely, 2^112409904211 is an apocalyptic number.

112409904211 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

112409904211 is a deficient number, since it is larger than the sum of its proper divisors (10481676653).

112409904211 is a wasteful number, since it uses less digits than its factorization.

112409904211 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21882881.

The product of its (nonzero) digits is 5184, while the sum is 34.

The spelling of 112409904211 in words is "one hundred twelve billion, four hundred nine million, nine hundred four thousand, two hundred eleven".