120220122221000 has 128 divisors (see below), whose sum is σ = 285510588480000. Its totient is φ = 47373580800000.

The previous prime is 120220122220987. The next prime is 120220122221021. The reversal of 120220122221000 is 122221022021.

It is a happy number.

120220122221000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 120220122221000.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 33776375 + ... + 37165625.

It is an arithmetic number, because the mean of its divisors is an integer number (2230551472500).

Almost surely, 2^{120220122221000} is an apocalyptic number.

120220122221000 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 120220122221000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142755294240000).

120220122221000 is an abundant number, since it is smaller than the sum of its proper divisors (165290466259000).

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

120220122221000 is a wasteful number, since it uses less digits than its factorization.

120220122221000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3389800 (or 3389786 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 17.

Adding to 120220122221000 its reverse (122221022021), we get a palindrome (120342343243021).

The spelling of 120220122221000 in words is "one hundred twenty trillion, two hundred twenty billion, one hundred twenty-two million, two hundred twenty-one thousand".