120001221102112 has 144 divisors (see below), whose sum is σ = 286786854692352. Its totient is φ = 49190688476160.

The previous prime is 120001221102109. The next prime is 120001221102121. The reversal of 120001221102112 is 211201122100021.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 889667508 + ... + 889802380.

It is an arithmetic number, because the mean of its divisors is an integer number (1991575379808).

Almost surely, 2^{120001221102112} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 120001221102112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143393427346176).

120001221102112 is an abundant number, since it is smaller than the sum of its proper divisors (166785633590240).

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

120001221102112 is a wasteful number, since it uses less digits than its factorization.

120001221102112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 159591 (or 159576 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 120001221102112 its reverse (211201122100021), we get a palindrome (331202343202133).

The spelling of 120001221102112 in words is "one hundred twenty trillion, one billion, two hundred twenty-one million, one hundred two thousand, one hundred twelve".