120211221221001 has 12 divisors (see below), whose sum is σ = 173690590032180. Its totient is φ = 80116740587520.

The previous prime is 120211221220997. The next prime is 120211221221017. The reversal of 120211221221001 is 100122122112021.

120211221221001 is a `hidden beast` number, since 1 + 20 + 211 + 221 + 2 + 210 + 0 + 1 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 23019700473225 + 97191520747776 = 4797885^2 + 9858576^2 .

It is not a de Polignac number, because 120211221221001 - 2² = 120211221220997 is a prime.

It is not an unprimeable number, because it can be changed into a prime (120211221221051) 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, 2006098360 + ... + 2006158281.

It is an arithmetic number, because the mean of its divisors is an integer number (14474215836015).

Almost surely, 2^{120211221221001} is an apocalyptic number.

It is an amenable number.

120211221221001 is a deficient number, since it is larger than the sum of its proper divisors (53479368811179).

120211221221001 is a wasteful number, since it uses less digits than its factorization.

120211221221001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4012259976 (or 4012259973 counting only the distinct ones).

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

Adding to 120211221221001 its reverse (100122122112021), we get a palindrome (220333343333022).

The spelling of 120211221221001 in words is "one hundred twenty trillion, two hundred eleven billion, two hundred twenty-one million, two hundred twenty-one thousand, one".