1322113030200 has 288 divisors, whose sum is σ = 4622582967600. Its totient is φ = 338334382080.

The previous prime is 1322113030187. The next prime is 1322113030201. The reversal of 1322113030200 is 20303112231.

1322113030200 is a `hidden beast` number, since 1 + 322 + 11 + 30 + 302 + 0 + 0 = 666.

It is a super-2 number, since 2×1322113030200² (a number of 25 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1322113030201) 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 71 ways as a sum of consecutive naturals, for example, 4725831 + ... + 4997769.

Almost surely, 2^{1322113030200} is an apocalyptic number.

1322113030200 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 1322113030200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2311291483800).

1322113030200 is an abundant number, since it is smaller than the sum of its proper divisors (3300469937400).

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

1322113030200 is a wasteful number, since it uses less digits than its factorization.

1322113030200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 272071 (or 272059 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 1322113030200 its reverse (20303112231), we get a palindrome (1342416142431).

The spelling of 1322113030200 in words is "one trillion, three hundred twenty-two billion, one hundred thirteen million, thirty thousand, two hundred".