1322123101200 has 540 divisors, whose sum is σ = 5125933718724. Its totient is φ = 315254016000.

The previous prime is 1322123101183. The next prime is 1322123101213. The reversal of 1322123101200 is 21013212231.

1322123101200 is a `hidden beast` number, since 1 + 322 + 12 + 310 + 1 + 20 + 0 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 657519887376 + 664603213824 = 810876^2 + 815232^2 .

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 (17) of ones.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 26546722 + ... + 26596478.

Almost surely, 2^{1322123101200} is an apocalyptic number.

1322123101200 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 1322123101200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2562966859362).

1322123101200 is an abundant number, since it is smaller than the sum of its proper divisors (3803810617524).

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

1322123101200 is a wasteful number, since it uses less digits than its factorization.

1322123101200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49864 (or 49839 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 1322123101200 its reverse (21013212231), we get a palindrome (1343136313431).

The spelling of 1322123101200 in words is "one trillion, three hundred twenty-two billion, one hundred twenty-three million, one hundred one thousand, two hundred".