112980000 has 240 divisors, whose sum is σ = 425113920. Its totient is φ = 25728000.

The previous prime is 112979989. The next prime is 112980001. The reversal of 112980000 is 89211.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is not an unprimeable number, because it can be changed into a prime (112980001) by changing a digit.

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 39 ways as a sum of consecutive naturals, for example, 419866 + ... + 420134.

It is an arithmetic number, because the mean of its divisors is an integer number (1771308).

Almost surely, 2^112980000 is an apocalyptic number.

112980000 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 112980000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (212556960).

112980000 is an abundant number, since it is smaller than the sum of its proper divisors (312133920).

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

112980000 is an equidigital number, since it uses as much as digits as its factorization.

112980000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 309 (or 286 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 21.

The square root of 112980000 is about 10629.2050502378. The cubic root of 112980000 is about 483.4302883844.

The spelling of 112980000 in words is "one hundred twelve million, nine hundred eighty thousand".