112401135 has 96 divisors (see below), whose sum is σ = 251274240. Its totient is φ = 46664640.

The previous prime is 112401089. The next prime is 112401137. The reversal of 112401135 is 531104211.

It is not a de Polignac number, because 112401135 - 2¹⁰ = 112400111 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112401137) 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 95 ways as a sum of consecutive naturals, for example, 113854 + ... + 114836.

It is an arithmetic number, because the mean of its divisors is an integer number (2617440).

Almost surely, 2^112401135 is an apocalyptic number.

112401135 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

112401135 is an abundant number, since it is smaller than the sum of its proper divisors (138873105).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

112401135 is a wasteful number, since it uses less digits than its factorization.

112401135 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1026 (or 1009 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 18.

The square root of 112401135 is about 10601.9401526324. The cubic root of 112401135 is about 482.6032388464.

Adding to 112401135 its reverse (531104211), we get a palindrome (643505346).

The spelling of 112401135 in words is "one hundred twelve million, four hundred one thousand, one hundred thirty-five".