20121120222120 has 96 divisors (see below), whose sum is σ = 68835411309600. Its totient is φ = 5083230370176.

The previous prime is 20121120222041. The next prime is 20121120222121. The reversal of 20121120222120 is 2122202112102.

It is a happy number.

20121120222120 is a `hidden beast` number, since 201 + 2 + 1 + 120 + 222 + 120 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 20121120222093 and 20121120222102.

It is not an unprimeable number, because it can be changed into a prime (20121120222121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1470835282 + ... + 1470848961.

It is an arithmetic number, because the mean of its divisors is an integer number (717035534475).

Almost surely, 2^{20121120222120} is an apocalyptic number.

20121120222120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20121120222120 is an abundant number, since it is smaller than the sum of its proper divisors (48714291087480).

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

20121120222120 is a wasteful number, since it uses less digits than its factorization.

20121120222120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2941684279 (or 2941684272 counting only the distinct ones).

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

Adding to 20121120222120 its reverse (2122202112102), we get a palindrome (22243322334222).

The spelling of 20121120222120 in words is "twenty trillion, one hundred twenty-one billion, one hundred twenty million, two hundred twenty-two thousand, one hundred twenty".