112848000 has 128 divisors (see below), whose sum is σ = 374250240. Its totient is φ = 30080000.

The previous prime is 112847993. The next prime is 112848037. The reversal of 112848000 is 848211.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×112848000² = 25469342208000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 46825 + ... + 49175.

It is an arithmetic number, because the mean of its divisors is an integer number (2923830).

Almost surely, 2^112848000 is an apocalyptic number.

112848000 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 112848000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (187125120).

112848000 is an abundant number, since it is smaller than the sum of its proper divisors (261402240).

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

112848000 is an equidigital number, since it uses as much as digits as its factorization.

112848000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2383 (or 2361 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 24.

The square root of 112848000 is about 10622.9939282671. The cubic root of 112848000 is about 483.2419433497.

The spelling of 112848000 in words is "one hundred twelve million, eight hundred forty-eight thousand".