2120002121120 has 96 divisors (see below), whose sum is σ = 5395262563152. Its totient is φ = 782554079232.

The previous prime is 2120002121117. The next prime is 2120002121129. The reversal of 2120002121120 is 211212000212.

It can be written as a sum of positive squares in 8 ways, for example, as 34161389584 + 2085840731536 = 184828^2 + 1444244^2 .

It is a junction number, because it is equal to n+sod(n) for n = 2120002121095 and 2120002121104.

It is not an unprimeable number, because it can be changed into a prime (2120002121129) 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 15 ways as a sum of consecutive naturals, for example, 7501094 + ... + 7778586.

Almost surely, 2^{2120002121120} is an apocalyptic number.

2120002121120 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 2120002121120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2697631281576).

2120002121120 is an abundant number, since it is smaller than the sum of its proper divisors (3275260442032).

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

2120002121120 is a wasteful number, since it uses less digits than its factorization.

2120002121120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 281194 (or 281186 counting only the distinct ones).

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

Adding to 2120002121120 its reverse (211212000212), we get a palindrome (2331214121332).

The spelling of 2120002121120 in words is "two trillion, one hundred twenty billion, two million, one hundred twenty-one thousand, one hundred twenty".