120122210000000 has 1024 divisors, whose sum is σ = 341112626749440. Its totient is φ = 41817600000000.

The previous prime is 120122209999973. The next prime is 120122210000047. The reversal of 120122210000000 is 12221021.

It is a happy number.

120122210000000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 165229999637 + ... + 165230000363.

It is an arithmetic number, because the mean of its divisors is an integer number (333117799560).

Almost surely, 2^{120122210000000} is an apocalyptic number.

120122210000000 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 120122210000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170556313374720).

120122210000000 is an abundant number, since it is smaller than the sum of its proper divisors (220990416749440).

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

120122210000000 is an frugal number, since it uses more digits than its factorization.

120122210000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 861 (or 819 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

Adding to 120122210000000 its reverse (12221021), we get a palindrome (120122222221021).

The spelling of 120122210000000 in words is "one hundred twenty trillion, one hundred twenty-two billion, two hundred ten million", and thus it is an aban number.