120022122212001 has 12 divisors (see below), whose sum is σ = 173366616576660. Its totient is φ = 80014134785760.

The previous prime is 120022122211997. The next prime is 120022122212089. The reversal of 120022122212001 is 100212221220021.

It is a happy number.

120022122212001 is a `hidden beast` number, since 1 + 20 + 0 + 221 + 2 + 221 + 200 + 1 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 9372782250000 + 110649339962001 = 3061500^2 + 10518999^2 .

It is not a de Polignac number, because 120022122212001 - 2² = 120022122211997 is a prime.

It is not an unprimeable number, because it can be changed into a prime (120022122212401) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 49872066 + ... + 52223243.

It is an arithmetic number, because the mean of its divisors is an integer number (14447218048055).

Almost surely, 2^{120022122212001} is an apocalyptic number.

It is an amenable number.

120022122212001 is a deficient number, since it is larger than the sum of its proper divisors (53344494364659).

120022122212001 is a wasteful number, since it uses less digits than its factorization.

120022122212001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102225936 (or 102225933 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 120022122212001 its reverse (100212221220021), we get a palindrome (220234343432022).

The spelling of 120022122212001 in words is "one hundred twenty trillion, twenty-two billion, one hundred twenty-two million, two hundred twelve thousand, one".