1113112000 has 448 divisors, whose sum is σ = 3727825920. Its totient is φ = 317952000.

The previous prime is 1113111997. The next prime is 1113112001. The reversal of 1113112000 is 2113111.

It is a tau number, because it is divible by the number of its divisors (448).

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1113112001) 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 63 ways as a sum of consecutive naturals, for example, 8007931 + ... + 8008069.

It is an arithmetic number, because the mean of its divisors is an integer number (8321040).

Almost surely, 2^1113112000 is an apocalyptic number.

1113112000 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 1113112000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1863912960).

1113112000 is an abundant number, since it is smaller than the sum of its proper divisors (2614713920).

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

1113112000 is a wasteful number, since it uses less digits than its factorization.

1113112000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 197 (or 177 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 10.

The square root of 1113112000 is about 33363.3331668165. Note that the first 3 decimals coincide. The cubic root of 1113112000 is about 1036.3655185244.

Adding to 1113112000 its reverse (2113111), we get a palindrome (1115225111).

It can be divided in two parts, 111311 and 2000, that added together give a palindrome (113311).

The spelling of 1113112000 in words is "one billion, one hundred thirteen million, one hundred twelve thousand".