112128993 has 48 divisors (see below), whose sum is σ = 174894720. Its totient is φ = 69092352.

The previous prime is 112128971. The next prime is 112128997. The reversal of 112128993 is 399821211.

It is not a de Polignac number, because 112128993 - 2¹² = 112124897 is a prime.

It is a super-2 number, since 2×112128993² = 25145822142388098, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (112128997) 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 47 ways as a sum of consecutive naturals, for example, 1088580 + ... + 1088682.

It is an arithmetic number, because the mean of its divisors is an integer number (3643640).

Almost surely, 2^112128993 is an apocalyptic number.

It is an amenable number.

112128993 is a deficient number, since it is larger than the sum of its proper divisors (62765727).

112128993 is a wasteful number, since it uses less digits than its factorization.

112128993 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 278 (or 275 counting only the distinct ones).

The product of its digits is 7776, while the sum is 36.

The square root of 112128993 is about 10589.0978369264. The cubic root of 112128993 is about 482.2134362897.

The spelling of 112128993 in words is "one hundred twelve million, one hundred twenty-eight thousand, nine hundred ninety-three".