120010102010112 has 144 divisors (see below), whose sum is σ = 322779907562112. Its totient is φ = 39580506193920.

The previous prime is 120010102010059. The next prime is 120010102010131. The reversal of 120010102010112 is 211010201010021.

120010102010112 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 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 15 ways as a sum of consecutive naturals, for example, 284438413 + ... + 284860019.

It is an arithmetic number, because the mean of its divisors is an integer number (2241527135848).

Almost surely, 2^{120010102010112} is an apocalyptic number.

120010102010112 is a gapful number since it is divisible by the number (12) 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 120010102010112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161389953781056).

120010102010112 is an abundant number, since it is smaller than the sum of its proper divisors (202769805552000).

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

120010102010112 is an equidigital number, since it uses as much as digits as its factorization.

120010102010112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 425544 (or 425530 counting only the distinct ones).

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

Adding to 120010102010112 its reverse (211010201010021), we get a palindrome (331020303020133).

The spelling of 120010102010112 in words is "one hundred twenty trillion, ten billion, one hundred two million, ten thousand, one hundred twelve".