1120112000 has 256 divisors, whose sum is σ = 3249866880. Its totient is φ = 376012800.

The previous prime is 1120111981. The next prime is 1120112009. The reversal of 1120112000 is 2110211.

It is a Harshad number since it is a multiple of its sum of digits (8).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1120112009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8175932 + ... + 8176068.

Almost surely, 2^1120112000 is an apocalyptic number.

1120112000 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 1120112000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1624933440).

1120112000 is an abundant number, since it is smaller than the sum of its proper divisors (2129754880).

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

1120112000 is an equidigital number, since it uses as much as digits as its factorization.

1120112000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 246 (or 224 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 8.

The square root of 1120112000 is about 33468.0743395852. The cubic root of 1120112000 is about 1038.5334358437.

Adding to 1120112000 its reverse (2110211), we get a palindrome (1122222211).

It can be divided in two parts, 1120 and 112000, that multiplied together give a square (125440000 = 11200²).

The spelling of 1120112000 in words is "one billion, one hundred twenty million, one hundred twelve thousand".