112001221210000 has 200 divisors, whose sum is σ = 287238933087480. Its totient is φ = 42147274752000.

The previous prime is 112001221209991. The next prime is 112001221210037. The reversal of 112001221210000 is 12122100211.

112001221210000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 20 ways, for example, as 107268194705296 + 4733026504704 = 10357036^2 + 2175552^2 .

It is a tau number, because it is divible by the number of its divisors (200).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 403951416 + ... + 404228584.

Almost surely, 2^{112001221210000} is an apocalyptic number.

112001221210000 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 112001221210000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143619466543740).

112001221210000 is an abundant number, since it is smaller than the sum of its proper divisors (175237711877480).

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

112001221210000 is a wasteful number, since it uses less digits than its factorization.

112001221210000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 279591 (or 279570 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 112001221210000 its reverse (12122100211), we get a palindrome (112013343310211).

The spelling of 112001221210000 in words is "one hundred twelve trillion, one billion, two hundred twenty-one million, two hundred ten thousand".