20110120121120 has 48 divisors (see below), whose sum is σ = 47510516298168. Its totient is φ = 8043987517440.

The previous prime is 20110120121081. The next prime is 20110120121129. The reversal of 20110120121120 is 2112102101102.

It can be written as a sum of positive squares in 4 ways, for example, as 19865597783056 + 244522338064 = 4457084^2 + 494492^2 .

It is a junction number, because it is equal to n+sod(n) for n = 20110120121095 and 20110120121104.

It is not an unprimeable number, because it can be changed into a prime (20110120121129) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 25196990 + ... + 25982850.

Almost surely, 2^{20110120121120} is an apocalyptic number.

20110120121120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20110120121120 is an abundant number, since it is smaller than the sum of its proper divisors (27400396177048).

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

20110120121120 is a wasteful number, since it uses less digits than its factorization.

20110120121120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 945813 (or 945805 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 20110120121120 its reverse (2112102101102), we get a palindrome (22222222222222).

The spelling of 20110120121120 in words is "twenty trillion, one hundred ten billion, one hundred twenty million, one hundred twenty-one thousand, one hundred twenty".