112411414401 has 128 divisors (see below), whose sum is σ = 185586992640. Its totient is φ = 59587584000.

The previous prime is 112411414391. The next prime is 112411414433. The reversal of 112411414401 is 104414114211.

It is not a de Polignac number, because 112411414401 - 2⁹ = 112411413889 is a prime.

It is not an unprimeable number, because it can be changed into a prime (112411414001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 172145791 + ... + 172146443.

It is an arithmetic number, because the mean of its divisors is an integer number (1449898380).

Almost surely, 2^112411414401 is an apocalyptic number.

112411414401 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

112411414401 is a deficient number, since it is larger than the sum of its proper divisors (73175578239).

112411414401 is a wasteful number, since it uses less digits than its factorization.

112411414401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 947.

The product of its (nonzero) digits is 512, while the sum is 24.

Adding to 112411414401 its reverse (104414114211), we get a palindrome (216825528612).

The spelling of 112411414401 in words is "one hundred twelve billion, four hundred eleven million, four hundred fourteen thousand, four hundred one".