114222124200041 has 48 divisors (see below), whose sum is σ = 138092553844224. Its totient is φ = 93805805808000.

The previous prime is 114222124199957. The next prime is 114222124200071. The reversal of 114222124200041 is 140002421222411.

It is not a de Polignac number, because 114222124200041 - 2³⁴ = 114204944330857 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (114222124200071) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1654615196 + ... + 1654684226.

It is an arithmetic number, because the mean of its divisors is an integer number (2876928205088).

Almost surely, 2^{114222124200041} is an apocalyptic number.

114222124200041 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

114222124200041 is a deficient number, since it is larger than the sum of its proper divisors (23870429644183).

114222124200041 is a wasteful number, since it uses less digits than its factorization.

114222124200041 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 91494 (or 91483 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 26.

Adding to 114222124200041 its reverse (140002421222411), we get a palindrome (254224545422452).

The spelling of 114222124200041 in words is "one hundred fourteen trillion, two hundred twenty-two billion, one hundred twenty-four million, two hundred thousand, forty-one".