120102222112000 has 576 divisors, whose sum is σ = 316040854671360. Its totient is φ = 45388738560000.

The previous prime is 120102222111997. The next prime is 120102222112079. The reversal of 120102222112000 is 211222201021.

It is a happy number.

120102222112000 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 (16).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 35606942314 + ... + 35606945686.

It is an arithmetic number, because the mean of its divisors is an integer number (548682039360).

Almost surely, 2^{120102222112000} is an apocalyptic number.

120102222112000 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 120102222112000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158020427335680).

120102222112000 is an abundant number, since it is smaller than the sum of its proper divisors (195938632559360).

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

120102222112000 is a wasteful number, since it uses less digits than its factorization.

120102222112000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4007 (or 3983 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 120102222112000 its reverse (211222201021), we get a palindrome (120313444313021).

The spelling of 120102222112000 in words is "one hundred twenty trillion, one hundred two billion, two hundred twenty-two million, one hundred twelve thousand".