2120013344224 has 192 divisors, whose sum is σ = 4587589258560. Its totient is φ = 960829931520.

The previous prime is 2120013344213. The next prime is 2120013344249. The reversal of 2120013344224 is 4224433100212.

It is a junction number, because it is equal to n+sod(n) for n = 2120013344192 and 2120013344201.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 612541854 + ... + 612545314.

It is an arithmetic number, because the mean of its divisors is an integer number (23893694055).

Almost surely, 2^{2120013344224} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2120013344224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2293794629280).

2120013344224 is an abundant number, since it is smaller than the sum of its proper divisors (2467575914336).

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

2120013344224 is a wasteful number, since it uses less digits than its factorization.

2120013344224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3973 (or 3965 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 28.

Adding to 2120013344224 its reverse (4224433100212), we get a palindrome (6344446444436).

The spelling of 2120013344224 in words is "two trillion, one hundred twenty billion, thirteen million, three hundred forty-four thousand, two hundred twenty-four".