1322144000 has 144 divisors (see below), whose sum is σ = 3341694720. Its totient is φ = 521164800.

The previous prime is 1322143997. The next prime is 1322144053. The reversal of 1322144000 is 4412231.

It is a self number, because there is not a number n which added to its sum of digits gives 1322144000.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2527739 + ... + 2528261.

Almost surely, 2^1322144000 is an apocalyptic number.

1322144000 is a gapful number since it is divisible by the number (10) 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 1322144000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1670847360).

1322144000 is an abundant number, since it is smaller than the sum of its proper divisors (2019550720).

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

1322144000 is an frugal number, since it uses more digits than its factorization.

1322144000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 633 (or 609 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 17.

The square root of 1322144000 is about 36361.2981066408. The cubic root of 1322144000 is about 1097.5548995910.

Adding to 1322144000 its reverse (4412231), we get a palindrome (1326556231).

The spelling of 1322144000 in words is "one billion, three hundred twenty-two million, one hundred forty-four thousand".