112014000 has 360 divisors, whose sum is σ = 458684928. Its totient is φ = 25401600.

The previous prime is 112013999. The next prime is 112014013. The reversal of 112014000 is 410211.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (360).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

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 71 ways as a sum of consecutive naturals, for example, 881937 + ... + 882063.

Almost surely, 2^112014000 is an apocalyptic number.

112014000 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 112014000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (229342464).

112014000 is an abundant number, since it is smaller than the sum of its proper divisors (346670928).

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

112014000 is a wasteful number, since it uses less digits than its factorization.

112014000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 170 (or 144 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

The square root of 112014000 is about 10583.6666614175. Note that the first 5 decimals coincide. The cubic root of 112014000 is about 482.0485365171.

Adding to 112014000 its reverse (410211), we get a palindrome (112424211).

The spelling of 112014000 in words is "one hundred twelve million, fourteen thousand".