112001212130000 has 100 divisors (see below), whose sum is σ = 271354610229120. Its totient is φ = 44769346032000.

The previous prime is 112001212129997. The next prime is 112001212130009. The reversal of 112001212130000 is 31212100211.

112001212130000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (100).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112001212130009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 10498367 + ... + 18281633.

Almost surely, 2^{112001212130000} is an apocalyptic number.

112001212130000 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 112001212130000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135677305114560).

112001212130000 is an abundant number, since it is smaller than the sum of its proper divisors (159353398099120).

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

112001212130000 is an equidigital number, since it uses as much as digits as its factorization.

112001212130000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7784734 (or 7784713 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 14.

Adding to 112001212130000 its reverse (31212100211), we get a palindrome (112032424230211).

The spelling of 112001212130000 in words is "one hundred twelve trillion, one billion, two hundred twelve million, one hundred thirty thousand".