1112110002000 has 240 divisors, whose sum is σ = 3927878220240. Its totient is φ = 293230080000.

The previous prime is 1112110001969. The next prime is 1112110002001. The reversal of 1112110002000 is 2000112111.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 839400451344 + 272709550656 = 916188^2 + 522216^2 .

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 (9).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1112110002001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1254900 + ... + 1949100.

It is an arithmetic number, because the mean of its divisors is an integer number (16366159251).

Almost surely, 2^{1112110002000} is an apocalyptic number.

1112110002000 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 1112110002000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1963939110120).

1112110002000 is an abundant number, since it is smaller than the sum of its proper divisors (2815768218240).

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

1112110002000 is a wasteful number, since it uses less digits than its factorization.

1112110002000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 694319 (or 694300 counting only the distinct ones).

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

Adding to 1112110002000 its reverse (2000112111), we get a palindrome (1114110114111).

The spelling of 1112110002000 in words is "one trillion, one hundred twelve billion, one hundred ten million, two thousand".