120122001111001 has 16 divisors (see below), whose sum is σ = 127605220571664. Its totient is φ = 112685200902144.

The previous prime is 120122001110983. The next prime is 120122001111011. The reversal of 120122001111001 is 100111100221021.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 43833655248601 + 76288345862400 = 6620699^2 + 8734320^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-120122001111001 is a prime.

It is a super-2 number, since 2×120122001111001² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (120122001111011) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 61901455 + ... + 63812491.

It is an arithmetic number, because the mean of its divisors is an integer number (7975326285729).

Almost surely, 2^{120122001111001} is an apocalyptic number.

It is an amenable number.

120122001111001 is a deficient number, since it is larger than the sum of its proper divisors (7483219460663).

120122001111001 is a wasteful number, since it uses less digits than its factorization.

120122001111001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1923180.

The product of its (nonzero) digits is 8, while the sum is 13.

Adding to 120122001111001 its reverse (100111100221021), we get a palindrome (220233101332022).

The spelling of 120122001111001 in words is "one hundred twenty trillion, one hundred twenty-two billion, one million, one hundred eleven thousand, one".