120222122121009 has 10 divisors (see below), whose sum is σ = 179591071316690. Its totient is φ = 80148081413952.

The previous prime is 120222122120999. The next prime is 120222122121037. The reversal of 120222122121009 is 900121221222021.

120222122121009 is a `hidden beast` number, since 1 + 2 + 0 + 2 + 221 + 221 + 210 + 0 + 9 = 666.

It can be written as a sum of positive squares in only one way, i.e., 68971413839409 + 51250708281600 = 8304903^2 + 7158960^2 .

It is not a de Polignac number, because 120222122121009 - 2¹¹ = 120222122118961 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (120222122121109) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 742111864864 + ... + 742111865025.

It is an arithmetic number, because the mean of its divisors is an integer number (17959107131669).

Almost surely, 2^{120222122121009} is an apocalyptic number.

It is an amenable number.

120222122121009 is a deficient number, since it is larger than the sum of its proper divisors (59368949195681).

120222122121009 is an equidigital number, since it uses as much as digits as its factorization.

120222122121009 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1484223729901 (or 1484223729892 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

It can be divided in two parts, 12022212 and 2121009, that added together give a triangular number (14143221 = T₅₃₁₈).

The spelling of 120222122121009 in words is "one hundred twenty trillion, two hundred twenty-two billion, one hundred twenty-two million, one hundred twenty-one thousand, nine".