112971000 has 64 divisors (see below), whose sum is σ = 352478880. Its totient is φ = 30124800.

The previous prime is 112970989. The next prime is 112971013. The reversal of 112971000 is 179211.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 15829 + ... + 21828.

Almost surely, 2^112971000 is an apocalyptic number.

112971000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

112971000 is an abundant number, since it is smaller than the sum of its proper divisors (239507880).

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

112971000 is a wasteful number, since it uses less digits than its factorization.

112971000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37681 (or 37667 counting only the distinct ones).

The product of its (nonzero) digits is 126, while the sum is 21.

The square root of 112971000 is about 10628.7816799481. The cubic root of 112971000 is about 483.4174513391.

The spelling of 112971000 in words is "one hundred twelve million, nine hundred seventy-one thousand".