120222211121001 has 32 divisors (see below), whose sum is σ = 198817093347840. Its totient is φ = 71167482262800.

The previous prime is 120222211120993. The next prime is 120222211121041. The reversal of 120222211121001 is 100121112222021.

120222211121001 is a `hidden beast` number, since 1 + 20 + 222 + 211 + 1 + 210 + 0 + 1 = 666.

It is not a de Polignac number, because 120222211121001 - 2³ = 120222211120993 is a prime.

It is not an unprimeable number, because it can be changed into a prime (120222211121041) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4706831295 + ... + 4706856836.

It is an arithmetic number, because the mean of its divisors is an integer number (6213034167120).

Almost surely, 2^{120222211121001} is an apocalyptic number.

120222211121001 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

120222211121001 is a deficient number, since it is larger than the sum of its proper divisors (78594882226839).

120222211121001 is a wasteful number, since it uses less digits than its factorization.

120222211121001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9413688194 (or 9413688188 counting only the distinct ones).

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

Adding to 120222211121001 its reverse (100121112222021), we get a palindrome (220343323343022).

The spelling of 120222211121001 in words is "one hundred twenty trillion, two hundred twenty-two billion, two hundred eleven million, one hundred twenty-one thousand, one".