120212002121211 has 288 divisors, whose sum is σ = 245158077528000. Its totient is φ = 56085983815680.

The previous prime is 120212002121153. The next prime is 120212002121249. The reversal of 120212002121211 is 112121200212021.

120212002121211 is a `hidden beast` number, since 1 + 20 + 21 + 200 + 212 + 1 + 211 = 666.

It is not a de Polignac number, because 120212002121211 - 2¹⁰ = 120212002120187 is a prime.

It is a super-2 number, since 2×120212002121211² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (120212002121111) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 394180515 + ... + 394485363.

It is an arithmetic number, because the mean of its divisors is an integer number (851243324750).

Almost surely, 2^{120212002121211} is an apocalyptic number.

120212002121211 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

120212002121211 is an abundant number, since it is smaller than the sum of its proper divisors (124946075406789).

120212002121211 is a wasteful number, since it uses less digits than its factorization.

120212002121211 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 304956 (or 304920 counting only the distinct ones).

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

Adding to 120212002121211 its reverse (112121200212021), we get a palindrome (232333202333232).

The spelling of 120212002121211 in words is "one hundred twenty trillion, two hundred twelve billion, two million, one hundred twenty-one thousand, two hundred eleven".