112214000 has 80 divisors (see below), whose sum is σ = 285710880. Its totient is φ = 42508800.

The previous prime is 112213993. The next prime is 112214041. The reversal of 112214000 is 412211.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 36524 + ... + 39476.

It is an arithmetic number, because the mean of its divisors is an integer number (3571386).

Almost surely, 2^112214000 is an apocalyptic number.

112214000 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 112214000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142855440).

112214000 is an abundant number, since it is smaller than the sum of its proper divisors (173496880).

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

112214000 is a wasteful number, since it uses less digits than its factorization.

112214000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2995 (or 2979 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

The square root of 112214000 is about 10593.1109689269. The cubic root of 112214000 is about 482.3352637256.

Adding to 112214000 its reverse (412211), we get a palindrome (112626211).

The spelling of 112214000 in words is "one hundred twelve million, two hundred fourteen thousand".