112121200011000 has 512 divisors, whose sum is σ = 361272641184000. Its totient is φ = 28929296793600.

The previous prime is 112121200010999. The next prime is 112121200011031. The reversal of 112121200011000 is 110002121211.

112121200011000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is an unprimeable number.

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 127 ways as a sum of consecutive naturals, for example, 24647436726 + ... + 24647441274.

Almost surely, 2^{112121200011000} is an apocalyptic number.

112121200011000 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 112121200011000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180636320592000).

112121200011000 is an abundant number, since it is smaller than the sum of its proper divisors (249151441173000).

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

112121200011000 is a wasteful number, since it uses less digits than its factorization.

112121200011000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5796 (or 5782 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 112121200011000 its reverse (110002121211), we get a palindrome (112231202132211).

The spelling of 112121200011000 in words is "one hundred twelve trillion, one hundred twenty-one billion, two hundred million, eleven thousand".