2120114221344 has 288 divisors, whose sum is σ = 6912445962240. Its totient is φ = 603810049536.

The previous prime is 2120114221343. The next prime is 2120114221349. The reversal of 2120114221344 is 4431224110212.

2120114221344 is a `hidden beast` number, since 2 + 1 + 201 + 1 + 422 + 1 + 34 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is not an unprimeable number, because it can be changed into a prime (2120114221343) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 1489889817 + ... + 1489891239.

It is an arithmetic number, because the mean of its divisors is an integer number (24001548480).

Almost surely, 2^{2120114221344} is an apocalyptic number.

2120114221344 is a gapful number since it is divisible by the number (24) 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 2120114221344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3456222981120).

2120114221344 is an abundant number, since it is smaller than the sum of its proper divisors (4792331740896).

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

2120114221344 is a wasteful number, since it uses less digits than its factorization.

2120114221344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3292 (or 3281 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

Adding to 2120114221344 its reverse (4431224110212), we get a palindrome (6551338331556).

The spelling of 2120114221344 in words is "two trillion, one hundred twenty billion, one hundred fourteen million, two hundred twenty-one thousand, three hundred forty-four".