220120211222001 has 24 divisors (see below), whose sum is σ = 328931143992360. Its totient is φ = 141750115872000.

The previous prime is 220120211221973. The next prime is 220120211222027. The reversal of 220120211222001 is 100222112021022.

It is a happy number.

220120211222001 is a `hidden beast` number, since 220 + 12 + 0 + 211 + 2 + 220 + 0 + 1 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 44454876167601 + 175665335054400 = 6667449^2 + 13253880^2 .

It is not a de Polignac number, because 220120211222001 - 2⁷ = 220120211221873 is a prime.

It is not an unprimeable number, because it can be changed into a prime (220120211226001) 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 23 ways as a sum of consecutive naturals, for example, 2953090146 + ... + 2953164683.

It is an arithmetic number, because the mean of its divisors is an integer number (13705464333015).

Almost surely, 2^{220120211222001} is an apocalyptic number.

It is an amenable number.

220120211222001 is a deficient number, since it is larger than the sum of its proper divisors (108810932770359).

220120211222001 is a wasteful number, since it uses less digits than its factorization.

220120211222001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5906254977 (or 5906254974 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 220120211222001 its reverse (100222112021022), we get a palindrome (320342323243023).

The spelling of 220120211222001 in words is "two hundred twenty trillion, one hundred twenty billion, two hundred eleven million, two hundred twenty-two thousand, one".