120022121112201 has 96 divisors (see below), whose sum is σ = 219204867188736. Its totient is φ = 61466269536000.

The previous prime is 120022121112149. The next prime is 120022121112203. The reversal of 120022121112201 is 102211121220021.

120022121112201 is a `hidden beast` number, since 1 + 20 + 0 + 221 + 211 + 12 + 201 = 666.

It is not a de Polignac number, because 120022121112201 - 2⁴³ = 111226028089993 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (120022121112203) 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 95 ways as a sum of consecutive naturals, for example, 691559806 + ... + 691733336.

It is an arithmetic number, because the mean of its divisors is an integer number (2283384033216).

Almost surely, 2^{120022121112201} is an apocalyptic number.

120022121112201 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

120022121112201 is a deficient number, since it is larger than the sum of its proper divisors (99182746076535).

120022121112201 is a wasteful number, since it uses less digits than its factorization.

120022121112201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 187683 (or 187680 counting only the distinct ones).

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

Adding to 120022121112201 its reverse (102211121220021), we get a palindrome (222233242332222).

The spelling of 120022121112201 in words is "one hundred twenty trillion, twenty-two billion, one hundred twenty-one million, one hundred twelve thousand, two hundred one".