122201120009 has 8 divisors (see below), whose sum is σ = 129403752840. Its totient is φ = 115000079616.

The previous prime is 122201119981. The next prime is 122201120011. The reversal of 122201120009 is 900021102221.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 89118966784 + 33082153225 = 298528^2 + 181885^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 122201120009 - 2⁸ = 122201119753 is a prime.

It is a super-2 number, since 2×122201120009² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (122201125009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 238274 + ... + 548795.

It is an arithmetic number, because the mean of its divisors is an integer number (16175469105).

Almost surely, 2^122201120009 is an apocalyptic number.

It is an amenable number.

122201120009 is a deficient number, since it is larger than the sum of its proper divisors (7202632831).

122201120009 is an equidigital number, since it uses as much as digits as its factorization.

122201120009 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 796219.

The product of its (nonzero) digits is 144, while the sum is 20.

The spelling of 122201120009 in words is "one hundred twenty-two billion, two hundred one million, one hundred twenty thousand, nine".