1322325000 has 240 divisors, whose sum is σ = 4636461060. Its totient is φ = 352080000.

The previous prime is 1322324987. The next prime is 1322325029. The reversal of 1322325000 is 5232231.

1322325000 is a `hidden beast` number, since 132 + 2 + 32 + 500 + 0 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 299220804 + 1023104196 = 17298^2 + 31986^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 2024674 + ... + 2025326.

Almost surely, 2^1322325000 is an apocalyptic number.

1322325000 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 1322325000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2318230530).

1322325000 is an abundant number, since it is smaller than the sum of its proper divisors (3314136060).

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

1322325000 is an frugal number, since it uses more digits than its factorization.

1322325000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 696 (or 663 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 18.

The square root of 1322325000 is about 36363.7869315065. The cubic root of 1322325000 is about 1097.6049819754.

Adding to 1322325000 its reverse (5232231), we get a palindrome (1327557231).

The spelling of 1322325000 in words is "one billion, three hundred twenty-two million, three hundred twenty-five thousand".