112126000 has 80 divisors (see below), whose sum is σ = 309890880. Its totient is φ = 38438400.

The previous prime is 112125929. The next prime is 112126057. The reversal of 112126000 is 621211.

It is a tau number, because it is divible by the number of its divisors (80).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9996 + ... + 18004.

It is an arithmetic number, because the mean of its divisors is an integer number (3873636).

Almost surely, 2^112126000 is an apocalyptic number.

112126000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 112126000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154945440).

112126000 is an abundant number, since it is smaller than the sum of its proper divisors (197764880).

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

112126000 is an equidigital number, since it uses as much as digits as its factorization.

112126000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8039 (or 8023 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 13.

The square root of 112126000 is about 10588.9565113849. The cubic root of 112126000 is about 482.2091457619.

Adding to 112126000 its reverse (621211), we get a palindrome (112747211).

The spelling of 112126000 in words is "one hundred twelve million, one hundred twenty-six thousand".