120012222120000 has 560 divisors, whose sum is σ = 454023429995520. Its totient is φ = 27398036736000.

The previous prime is 120012222119969. The next prime is 120012222120019. The reversal of 120012222120000 is 21222210021.

It is a tau number, because it is divible by the number of its divisors (560).

It is a Harshad number since it is a multiple of its sum of digits (15).

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 79 ways as a sum of consecutive naturals, for example, 694593621 + ... + 694766379.

It is an arithmetic number, because the mean of its divisors is an integer number (810756124992).

Almost surely, 2^{120012222120000} is an apocalyptic number.

120012222120000 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 120012222120000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (227011714997760).

120012222120000 is an abundant number, since it is smaller than the sum of its proper divisors (334011207875520).

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

120012222120000 is an equidigital number, since it uses as much as digits as its factorization.

120012222120000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 173628 (or 173603 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

Adding to 120012222120000 its reverse (21222210021), we get a palindrome (120033444330021).

The spelling of 120012222120000 in words is "one hundred twenty trillion, twelve billion, two hundred twenty-two million, one hundred twenty thousand".