3222144313120 has 96 divisors (see below), whose sum is σ = 7744799769840. Its totient is φ = 1266468618240.

The previous prime is 3222144313117. The next prime is 3222144313127. The reversal of 3222144313120 is 213134412223.

It can be written as a sum of positive squares in 8 ways, for example, as 1339639575184 + 1882504737936 = 1157428^2 + 1372044^2 .

It is not an unprimeable number, because it can be changed into a prime (3222144313127) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9684244 + ... + 10011436.

Almost surely, 2^{3222144313120} 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 3222144313120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3872399884920).

3222144313120 is an abundant number, since it is smaller than the sum of its proper divisors (4522655456720).

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

3222144313120 is a wasteful number, since it uses less digits than its factorization.

3222144313120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 328278 (or 328270 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 28.

Adding to 3222144313120 its reverse (213134412223), we get a palindrome (3435278725343).

The spelling of 3222144313120 in words is "three trillion, two hundred twenty-two billion, one hundred forty-four million, three hundred thirteen thousand, one hundred twenty".