122120122001 has 8 divisors (see below), whose sum is σ = 125251069608. Its totient is φ = 118996432000.

The previous prime is 122120121997. The next prime is 122120122009. The reversal of 122120122001 is 100221021221.

It can be written as a sum of positive squares in 4 ways, for example, as 10857848401 + 111262273600 = 104201^2 + 333560^2 .

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

It is not a de Polignac number, because 122120122001 - 2² = 122120121997 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (122120122009) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1780310 + ... + 1847631.

It is an arithmetic number, because the mean of its divisors is an integer number (15656383701).

Almost surely, 2^122120122001 is an apocalyptic number.

It is an amenable number.

122120122001 is a deficient number, since it is larger than the sum of its proper divisors (3130947607).

122120122001 is an equidigital number, since it uses as much as digits as its factorization.

122120122001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3628803.

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 122120122001 its reverse (100221021221), we get a palindrome (222341143222).

The spelling of 122120122001 in words is "one hundred twenty-two billion, one hundred twenty million, one hundred twenty-two thousand, one".