120122001122211 has 48 divisors (see below), whose sum is σ = 192416904931680. Its totient is φ = 71596305216000.

The previous prime is 120122001122183. The next prime is 120122001122237. The reversal of 120122001122211 is 112221100221021.

120122001122211 is a `hidden beast` number, since 1 + 201 + 220 + 0 + 11 + 22 + 211 = 666.

It is not a de Polignac number, because 120122001122211 - 2¹³ = 120122001114019 is a prime.

It is not an unprimeable number, because it can be changed into a prime (120122001122281) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 36272031 + ... + 39444951.

It is an arithmetic number, because the mean of its divisors is an integer number (4008685519410).

Almost surely, 2^{120122001122211} is an apocalyptic number.

120122001122211 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

120122001122211 is a deficient number, since it is larger than the sum of its proper divisors (72294903809469).

120122001122211 is a wasteful number, since it uses less digits than its factorization.

120122001122211 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3179268 (or 3179265 counting only the distinct ones).

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

Adding to 120122001122211 its reverse (112221100221021), we get a palindrome (232343101343232).

The spelling of 120122001122211 in words is "one hundred twenty trillion, one hundred twenty-two billion, one million, one hundred twenty-two thousand, two hundred eleven".