1322332000 has 192 divisors, whose sum is σ = 3635731008. Its totient is φ = 468480000.

The previous prime is 1322331943. The next prime is 1322332009. The reversal of 1322332000 is 2332231.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1322332009) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1803634 + ... + 1804366.

It is an arithmetic number, because the mean of its divisors is an integer number (18936099).

Almost surely, 2^1322332000 is an apocalyptic number.

1322332000 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 1322332000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1817865504).

1322332000 is an abundant number, since it is smaller than the sum of its proper divisors (2313399008).

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

1322332000 is a wasteful number, since it uses less digits than its factorization.

1322332000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 810 (or 792 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 16.

The square root of 1322332000 is about 36363.8831809805. The cubic root of 1322332000 is about 1097.6069187714.

Adding to 1322332000 its reverse (2332231), we get a palindrome (1324664231).

The spelling of 1322332000 in words is "one billion, three hundred twenty-two million, three hundred thirty-two thousand".