20002120121120 has 96 divisors (see below), whose sum is σ = 48414605250816. Its totient is φ = 7804570982400.

The previous prime is 20002120121117. The next prime is 20002120121141. The reversal of 20002120121120 is 2112102120002.

It is a junction number, because it is equal to n+sod(n) for n = 20002120121095 and 20002120121104.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 45642887 + ... + 46079033.

It is an arithmetic number, because the mean of its divisors is an integer number (504318804696).

Almost surely, 2^{20002120121120} is an apocalyptic number.

20002120121120 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 20002120121120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24207302625408).

20002120121120 is an abundant number, since it is smaller than the sum of its proper divisors (28412485129696).

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

20002120121120 is a wasteful number, since it uses less digits than its factorization.

20002120121120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 443194 (or 443186 counting only the distinct ones).

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

Adding to 20002120121120 its reverse (2112102120002), we get a palindrome (22114222241122).

The spelling of 20002120121120 in words is "twenty trillion, two billion, one hundred twenty million, one hundred twenty-one thousand, one hundred twenty".