112001201110000 has 200 divisors, whose sum is σ = 271706773363344. Its totient is φ = 44711251200000.

The previous prime is 112001201109989. The next prime is 112001201110027. The reversal of 112001201110000 is 11102100211.

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

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

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, 11312105050 + ... + 11312114950.

Almost surely, 2^{112001201110000} is an apocalyptic number.

112001201110000 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 112001201110000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135853386681672).

112001201110000 is an abundant number, since it is smaller than the sum of its proper divisors (159705572253344).

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

112001201110000 is an equidigital number, since it uses as much as digits as its factorization.

112001201110000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12069 (or 12048 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 10.

Adding to 112001201110000 its reverse (11102100211), we get a palindrome (112012303210211).

The spelling of 112001201110000 in words is "one hundred twelve trillion, one billion, two hundred one million, one hundred ten thousand".