112200201102000 has 320 divisors, whose sum is σ = 394784596597248. Its totient is φ = 27188586880000.

The previous prime is 112200201101983. The next prime is 112200201102049. The reversal of 112200201102000 is 201102002211.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 156789007 + ... + 157502993.

Almost surely, 2^{112200201102000} is an apocalyptic number.

112200201102000 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 112200201102000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (197392298298624).

112200201102000 is an abundant number, since it is smaller than the sum of its proper divisors (282584395495248).

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

112200201102000 is a wasteful number, since it uses less digits than its factorization.

112200201102000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 716405 (or 716389 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 112200201102000 its reverse (201102002211), we get a palindrome (112401303104211).

The spelling of 112200201102000 in words is "one hundred twelve trillion, two hundred billion, two hundred one million, one hundred two thousand".