112426000 has 80 divisors (see below), whose sum is σ = 276232320. Its totient is φ = 44246400.

The previous prime is 112425997. The next prime is 112426009. The reversal of 112426000 is 624211.

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

It is a Harshad number since it is a multiple of its sum of digits (16).

It is not an unprimeable number, because it can be changed into a prime (112426009) by changing a digit.

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, 133581 + ... + 134419.

It is an arithmetic number, because the mean of its divisors is an integer number (3452904).

Almost surely, 2^112426000 is an apocalyptic number.

112426000 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 112426000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138116160).

112426000 is an abundant number, since it is smaller than the sum of its proper divisors (163806320).

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

112426000 is an equidigital number, since it uses as much as digits as its factorization.

112426000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 929 (or 913 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

The square root of 112426000 is about 10603.1127505087. The cubic root of 112426000 is about 482.6388228429.

The spelling of 112426000 in words is "one hundred twelve million, four hundred twenty-six thousand".