120112211222001 has 24 divisors (see below), whose sum is σ = 178185114691584. Its totient is φ = 77910346640160.

The previous prime is 120112211221837. The next prime is 120112211222023. The reversal of 120112211222001 is 100222112211021.

120112211222001 is a `hidden beast` number, since 120 + 1 + 1 + 221 + 122 + 200 + 1 = 666.

It is not a de Polignac number, because 120112211222001 - 2¹⁰ = 120112211220977 is a prime.

It is not an unprimeable number, because it can be changed into a prime (120112211222041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 138504336 + ... + 139368846.

It is an arithmetic number, because the mean of its divisors is an integer number (7424379778816).

Almost surely, 2^{120112211222001} is an apocalyptic number.

It is an amenable number.

120112211222001 is a deficient number, since it is larger than the sum of its proper divisors (58072903469583).

120112211222001 is a wasteful number, since it uses less digits than its factorization.

120112211222001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1281781 (or 1281778 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 120112211222001 its reverse (100222112211021), we get a palindrome (220334323433022).

The spelling of 120112211222001 in words is "one hundred twenty trillion, one hundred twelve billion, two hundred eleven million, two hundred twenty-two thousand, one".