112400004211 has 16 divisors (see below), whose sum is σ = 123424051968. Its totient is φ = 101511200800.

The previous prime is 112400004193. The next prime is 112400004217.

It is a happy number.

112400004211 is nontrivially palindromic in base 10.

It is a cyclic number.

It is not a de Polignac number, because 112400004211 - 2¹¹ = 112400002163 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (112400004217) 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, 2464626 + ... + 2509816.

It is an arithmetic number, because the mean of its divisors is an integer number (7714003248).

Almost surely, 2^112400004211 is an apocalyptic number.

112400004211 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

112400004211 is a deficient number, since it is larger than the sum of its proper divisors (11024047757).

112400004211 is a wasteful number, since it uses less digits than its factorization.

112400004211 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 46682.

The product of its (nonzero) digits is 64, while the sum is 16.

It can be divided in two parts, 11240000 and 4211, that added together give a palindrome (11244211).

The spelling of 112400004211 in words is "one hundred twelve billion, four hundred million, four thousand, two hundred eleven".