20121220001120 has 144 divisors (see below), whose sum is σ = 55354394139408. Its totient is φ = 6891596651520.

The previous prime is 20121220001093. The next prime is 20121220001149. The reversal of 20121220001120 is 2110002212102.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a junction number, because it is equal to n+sod(n) for n = 20121220001095 and 20121220001104.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6291074 + ... + 8934206.

It is an arithmetic number, because the mean of its divisors is an integer number (384405514857).

Almost surely, 2^{20121220001120} is an apocalyptic number.

20121220001120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20121220001120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27677197069704).

20121220001120 is an abundant number, since it is smaller than the sum of its proper divisors (35233174138288).

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

20121220001120 is a wasteful number, since it uses less digits than its factorization.

20121220001120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2644133 (or 2644118 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 20121220001120 its reverse (2110002212102), we get a palindrome (22231222213222).

The spelling of 20121220001120 in words is "twenty trillion, one hundred twenty-one billion, two hundred twenty million, one thousand, one hundred twenty".