1323221101200 has 180 divisors, whose sum is σ = 4667223340468. Its totient is φ = 347074329600.

The previous prime is 1323221101187. The next prime is 1323221101201. The reversal of 1323221101200 is 21011223231.

1323221101200 is a `hidden beast` number, since 1 + 32 + 322 + 110 + 1 + 200 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 7483634064 + 1315737467136 = 86508^2 + 1147056^2 .

It is a tau number, because it is divible by the number of its divisors (180).

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

It is not an unprimeable number, because it can be changed into a prime (1323221101201) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 2793199 + ... + 3232398.

Almost surely, 2^{1323221101200} is an apocalyptic number.

1323221101200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1323221101200 is an abundant number, since it is smaller than the sum of its proper divisors (3344002239268).

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

1323221101200 is a wasteful number, since it uses less digits than its factorization.

1323221101200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6025682 (or 6025668 counting only the distinct ones).

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

Adding to 1323221101200 its reverse (21011223231), we get a palindrome (1344232324431).

The spelling of 1323221101200 in words is "one trillion, three hundred twenty-three billion, two hundred twenty-one million, one hundred one thousand, two hundred".