2201320121344 has 88 divisors (see below), whose sum is σ = 4489290847800. Its totient is φ = 1078583623680.

The previous prime is 2201320121323. The next prime is 2201320121393. The reversal of 2201320121344 is 4431210231022.

It can be written as a sum of positive squares in 4 ways, for example, as 13778944 + 2201306342400 = 3712^2 + 1483680^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 16737312 + ... + 16868320.

It is an arithmetic number, because the mean of its divisors is an integer number (51014668725).

Almost surely, 2^{2201320121344} 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 2201320121344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2244645423900).

2201320121344 is an abundant number, since it is smaller than the sum of its proper divisors (2287970726456).

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

2201320121344 is a wasteful number, since it uses less digits than its factorization.

2201320121344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 131359 (or 131341 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 25.

Adding to 2201320121344 its reverse (4431210231022), we get a palindrome (6632530352366).

The spelling of 2201320121344 in words is "two trillion, two hundred one billion, three hundred twenty million, one hundred twenty-one thousand, three hundred forty-four".