112000111133300 has 72 divisors (see below), whose sum is σ = 270761011462200. Its totient is φ = 39927891064320.

The previous prime is 112000111133297. The next prime is 112000111133423. The reversal of 112000111133300 is 3331111000211.

It can be written as a sum of positive squares in 12 ways, for example, as 46452757771876 + 65547353361424 = 6815626^2 + 8096132^2 .

It is a super-3 number, since 3×112000111133300³ (a number of 43 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1485374915 + ... + 1485450314.

Almost surely, 2^{112000111133300} is an apocalyptic number.

112000111133300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

112000111133300 is an abundant number, since it is smaller than the sum of its proper divisors (158760900328900).

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

112000111133300 is a wasteful number, since it uses less digits than its factorization.

112000111133300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2970825285 (or 2970825278 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 17.

Adding to 112000111133300 its reverse (3331111000211), we get a palindrome (115331222133511).

The spelling of 112000111133300 in words is "one hundred twelve trillion, one hundred eleven million, one hundred thirty-three thousand, three hundred".