112320000 has 400 divisors, whose sum is σ = 447419280. Its totient is φ = 27648000.

The previous prime is 112319993. The next prime is 112320007. The reversal of 112320000 is 23211.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (112319993) and next prime (112320007).

It is a tau number, because it is divible by the number of its divisors (400).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112320007) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 8639994 + ... + 8640006.

Almost surely, 2^112320000 is an apocalyptic number.

112320000 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 112320000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (223709640).

112320000 is an abundant number, since it is smaller than the sum of its proper divisors (335099280).

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

112320000 is an frugal number, since it uses more digits than its factorization.

112320000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 60 (or 23 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 9.

The square root of 112320000 is about 10598.1130395934. The cubic root of 112320000 is about 482.4870910307.

Adding to 112320000 its reverse (23211), we get a palindrome (112343211).

The spelling of 112320000 in words is "one hundred twelve million, three hundred twenty thousand".