112121120002000 has 40 divisors (see below), whose sum is σ = 271108868169672. Its totient is φ = 44848448000000.

The previous prime is 112121120001991. The next prime is 112121120002037. The reversal of 112121120002000 is 200021121211.

112121120002000 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 4 ways, for example, as 35704640312896 + 76416479689104 = 5975336^2 + 8741652^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×112121120002000² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 28030278001 + ... + 28030282000.

Almost surely, 2^{112121120002000} is an apocalyptic number.

112121120002000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

112121120002000 is an abundant number, since it is smaller than the sum of its proper divisors (158987748167672).

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

112121120002000 is an equidigital number, since it uses as much as digits as its factorization.

112121120002000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56060560024 (or 56060560008 counting only the distinct ones).

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

Adding to 112121120002000 its reverse (200021121211), we get a palindrome (112321141123211).

The spelling of 112121120002000 in words is "one hundred twelve trillion, one hundred twenty-one billion, one hundred twenty million, two thousand".