1322112000 has 352 divisors, whose sum is σ = 4812971904. Its totient is φ = 319488000.

The previous prime is 1322111971. The next prime is 1322112007. The reversal of 1322112000 is 2112231.

It is a tau number, because it is divible by the number of its divisors (352).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1322112007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4223844 + ... + 4224156.

Almost surely, 2^1322112000 is an apocalyptic number.

1322112000 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 1322112000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2406485952).

1322112000 is an abundant number, since it is smaller than the sum of its proper divisors (3490859904).

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

1322112000 is a wasteful number, since it uses less digits than its factorization.

1322112000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 362 (or 334 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

The square root of 1322112000 is about 36360.8580756835. The cubic root of 1322112000 is about 1097.5460447713.

Adding to 1322112000 its reverse (2112231), we get a palindrome (1324224231).

The spelling of 1322112000 in words is "one billion, three hundred twenty-two million, one hundred twelve thousand".