112321000 has 64 divisors (see below), whose sum is σ = 286752960. Its totient is φ = 40840000.

The previous prime is 112320979. The next prime is 112321009. The reversal of 112321000 is 123211.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is not an unprimeable number, because it can be changed into a prime (112321009) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5895 + ... + 16105.

It is an arithmetic number, because the mean of its divisors is an integer number (4480515).

Almost surely, 2^112321000 is an apocalyptic number.

112321000 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 112321000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143376480).

112321000 is an abundant number, since it is smaller than the sum of its proper divisors (174431960).

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

112321000 is a wasteful number, since it uses less digits than its factorization.

112321000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10243 (or 10229 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 10.

The square root of 112321000 is about 10598.1602176982. The cubic root of 112321000 is about 482.4885229088.

Adding to 112321000 its reverse (123211), we get a palindrome (112444211).

The spelling of 112321000 in words is "one hundred twelve million, three hundred twenty-one thousand".