120012220112000 has 64 divisors (see below), whose sum is σ = 298380382293240. Its totient is φ = 48004888038400.

The previous prime is 120012220111939. The next prime is 120012220112003. The reversal of 120012220112000 is 211022210021.

120012220112000 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 17245016954944 + 102767203157056 = 4152712^2 + 10137416^2 .

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-3 number, since 3×120012220112000³ (a number of 43 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (120012220112003) 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 7 ways as a sum of consecutive naturals, for example, 3750365879 + ... + 3750397878.

Almost surely, 2^{120012220112000} is an apocalyptic number.

120012220112000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

120012220112000 is an abundant number, since it is smaller than the sum of its proper divisors (178368162181240).

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

120012220112000 is an frugal number, since it uses more digits than its factorization.

120012220112000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7500763786 (or 7500763764 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 120012220112000 its reverse (211022210021), we get a palindrome (120223242322021).

The spelling of 120012220112000 in words is "one hundred twenty trillion, twelve billion, two hundred twenty million, one hundred twelve thousand".