1112112000 has 192 divisors, whose sum is σ = 3994389360. Its totient is φ = 296524800.

The previous prime is 1112111983. The next prime is 1112112007. The reversal of 1112112000 is 2112111.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (192).

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 (1112112007) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 140139 + ... + 147861.

Almost surely, 2^1112112000 is an apocalyptic number.

1112112000 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 1112112000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1997194680).

1112112000 is an abundant number, since it is smaller than the sum of its proper divisors (2882277360).

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

1112112000 is an equidigital number, since it uses as much as digits as its factorization.

1112112000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7758 (or 7733 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

The square root of 1112112000 is about 33348.3432871859. The cubic root of 1112112000 is about 1036.0550747643.

Adding to 1112112000 its reverse (2112111), we get a palindrome (1114224111).

The spelling of 1112112000 in words is "one billion, one hundred twelve million, one hundred twelve thousand".