1322123200 has 84 divisors (see below), whose sum is σ = 3264938352. Its totient is φ = 526950400.

The previous prime is 1322123171. The next prime is 1322123203. The reversal of 1322123200 is 23212231.

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

It is a zygodrome in base 8.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1322123203) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 496272 + ... + 498928.

Almost surely, 2^1322123200 is an apocalyptic number.

1322123200 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 1322123200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1632469176).

1322123200 is an abundant number, since it is smaller than the sum of its proper divisors (1942815152).

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

1322123200 is a wasteful number, since it uses less digits than its factorization.

1322123200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2990 (or 2975 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

The square root of 1322123200 is about 36361.0120871243. The cubic root of 1322123200 is about 1097.5491439744.

Adding to 1322123200 its reverse (23212231), we get a palindrome (1345335431).

The spelling of 1322123200 in words is "one billion, three hundred twenty-two million, one hundred twenty-three thousand, two hundred".