112133002000 has 80 divisors (see below), whose sum is σ = 271916190000. Its totient is φ = 44724403200.

The previous prime is 112133001979. The next prime is 112133002013. The reversal of 112133002000 is 200331211.

It can be written as a sum of positive squares in 8 ways, for example, as 7498867216 + 104634134784 = 86596^2 + 323472^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 617676 + ... + 778324.

It is an arithmetic number, because the mean of its divisors is an integer number (3398952375).

Almost surely, 2^112133002000 is an apocalyptic number.

112133002000 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 112133002000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135958095000).

112133002000 is an abundant number, since it is smaller than the sum of its proper divisors (159783188000).

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

112133002000 is a wasteful number, since it uses less digits than its factorization.

112133002000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 161021 (or 161005 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 13.

Adding to 112133002000 its reverse (200331211), we get a palindrome (112333333211).

The spelling of 112133002000 in words is "one hundred twelve billion, one hundred thirty-three million, two thousand".