220122212011120 has 80 divisors (see below), whose sum is σ = 513923968055520. Its totient is φ = 87680765952000.

The previous prime is 220122212011111. The next prime is 220122212011193. The reversal of 220122212011120 is 21110212221022.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 675620416 + ... + 675946144.

It is an arithmetic number, because the mean of its divisors is an integer number (6424049600694).

Almost surely, 2^{220122212011120} is an apocalyptic number.

220122212011120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

220122212011120 is an abundant number, since it is smaller than the sum of its proper divisors (293801756044400).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

220122212011120 is a wasteful number, since it uses less digits than its factorization.

220122212011120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 361034 (or 361028 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 19.

Adding to 220122212011120 its reverse (21110212221022), we get a palindrome (241232424232142).

The spelling of 220122212011120 in words is "two hundred twenty trillion, one hundred twenty-two billion, two hundred twelve million, eleven thousand, one hundred twenty".