114112000 has 80 divisors (see below), whose sum is σ = 284704992. Its totient is φ = 45619200.

The previous prime is 114111997. The next prime is 114112027. The reversal of 114112000 is 211411.

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 (10).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 63109 + ... + 64891.

Almost surely, 2^114112000 is an apocalyptic number.

114112000 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 114112000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142352496).

114112000 is an abundant number, since it is smaller than the sum of its proper divisors (170592992).

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

114112000 is an frugal number, since it uses more digits than its factorization.

114112000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1816 (or 1790 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

The square root of 114112000 is about 10682.3218449923. The cubic root of 114112000 is about 485.0394979700.

Adding to 114112000 its reverse (211411), we get a palindrome (114323411).

The spelling of 114112000 in words is "one hundred fourteen million, one hundred twelve thousand".