20121220120120 has 32 divisors (see below), whose sum is σ = 51740280309600. Its totient is φ = 6898704041088.

The previous prime is 20121220120093. The next prime is 20121220120121. The reversal of 20121220120120 is 2102102212102.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 20121220120094 and 20121220120103.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20121220120121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 35930749935 + ... + 35930750494.

It is an arithmetic number, because the mean of its divisors is an integer number (1616883759675).

Almost surely, 2^{20121220120120} is an apocalyptic number.

20121220120120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20121220120120 is an abundant number, since it is smaller than the sum of its proper divisors (31619060189480).

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

20121220120120 is a wasteful number, since it uses less digits than its factorization.

20121220120120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71861500447 (or 71861500443 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 20121220120120 its reverse (2102102212102), we get a palindrome (22223322332222).

The spelling of 20121220120120 in words is "twenty trillion, one hundred twenty-one billion, two hundred twenty million, one hundred twenty thousand, one hundred twenty".