112200001200 has 720 divisors, whose sum is σ = 466241158656. Its totient is φ = 25380864000.

The previous prime is 112200001189. The next prime is 112200001231. The reversal of 112200001200 is 2100002211.

It is a tau number, because it is divible by the number of its divisors (720).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

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 143 ways as a sum of consecutive naturals, for example, 70080400 + ... + 70082000.

Almost surely, 2^112200001200 is an apocalyptic number.

112200001200 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 112200001200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (233120579328).

112200001200 is an abundant number, since it is smaller than the sum of its proper divisors (354041157456).

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

112200001200 is a wasteful number, since it uses less digits than its factorization.

112200001200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1744 (or 1721 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 112200001200 its reverse (2100002211), we get a palindrome (114300003411).

The spelling of 112200001200 in words is "one hundred twelve billion, two hundred million, one thousand, two hundred".