220120211122011 has 48 divisors (see below), whose sum is σ = 321495102628128. Its totient is φ = 145114937088000.

The previous prime is 220120211121997. The next prime is 220120211122027. The reversal of 220120211122011 is 110221112021022.

220120211122011 is a `hidden beast` number, since 2 + 201 + 20 + 211 + 1 + 220 + 11 = 666.

It is not a de Polignac number, because 220120211122011 - 2²² = 220120206927707 is a prime.

It is not an unprimeable number, because it can be changed into a prime (220120211122081) 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 47 ways as a sum of consecutive naturals, for example, 2866819441 + ... + 2866896221.

It is an arithmetic number, because the mean of its divisors is an integer number (6697814638086).

Almost surely, 2^{220120211122011} is an apocalyptic number.

220120211122011 is a deficient number, since it is larger than the sum of its proper divisors (101374891506117).

220120211122011 is a wasteful number, since it uses less digits than its factorization.

220120211122011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 80732 (or 80729 counting only the distinct ones).

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

Adding to 220120211122011 its reverse (110221112021022), we get a palindrome (330341323143033).

The spelling of 220120211122011 in words is "two hundred twenty trillion, one hundred twenty billion, two hundred eleven million, one hundred twenty-two thousand, eleven".