2120444221410 has 144 divisors (see below), whose sum is σ = 5566110775992. Its totient is φ = 560070650880.

The previous prime is 2120444221351. The next prime is 2120444221411. The reversal of 2120444221410 is 141224440212.

2120444221410 is a `hidden beast` number, since 2 + 1 + 2 + 0 + 4 + 442 + 214 + 1 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1709585015121 + 410859206289 = 1307511^2 + 640983^2 .

It is a super-2 number, since 2×2120444221410² (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2120444221411) 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 71 ways as a sum of consecutive naturals, for example, 1132110234 + ... + 1132112106.

Almost surely, 2^{2120444221410} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2120444221410, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2783055387996).

2120444221410 is an abundant number, since it is smaller than the sum of its proper divisors (3445666554582).

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

2120444221410 is a wasteful number, since it uses less digits than its factorization.

2120444221410 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2881 (or 2747 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 27.

Adding to 2120444221410 its reverse (141224440212), we get a palindrome (2261668661622).

The spelling of 2120444221410 in words is "two trillion, one hundred twenty billion, four hundred forty-four million, two hundred twenty-one thousand, four hundred ten".