120121021121211 has 128 divisors (see below), whose sum is σ = 198447470208000. Its totient is φ = 71196991488000.

The previous prime is 120121021121191. The next prime is 120121021121273. The reversal of 120121021121211 is 112121120121021.

It is a happy number.

120121021121211 is a `hidden beast` number, since 1 + 20 + 1 + 210 + 211 + 212 + 11 = 666.

It is not a de Polignac number, because 120121021121211 - 2¹¹ = 120121021119163 is a prime.

It is a super-3 number, since 3×120121021121211³ (a number of 43 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (120121021121611) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 3304276411 + ... + 3304312763.

It is an arithmetic number, because the mean of its divisors is an integer number (1550370861000).

Almost surely, 2^{120121021121211} is an apocalyptic number.

120121021121211 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

120121021121211 is a deficient number, since it is larger than the sum of its proper divisors (78326449086789).

120121021121211 is a wasteful number, since it uses less digits than its factorization.

120121021121211 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37402 (or 37396 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 18.

Adding to 120121021121211 its reverse (112121120121021), we get a palindrome (232242141242232).

The spelling of 120121021121211 in words is "one hundred twenty trillion, one hundred twenty-one billion, twenty-one million, one hundred twenty-one thousand, two hundred eleven".