11331220021200 has 300 divisors, whose sum is σ = 40684483258188. Its totient is φ = 3020347699200.

The previous prime is 11331220021193. The next prime is 11331220021207. The reversal of 11331220021200 is 212002213311.

11331220021200 is a `hidden beast` number, since 11 + 331 + 2 + 200 + 2 + 120 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (11331220021193) and next prime (11331220021207).

It can be written as a sum of positive squares in 6 ways, for example, as 418319194176 + 10912900827024 = 646776^2 + 3303468^2 .

It is a tau number, because it is divible by the number of its divisors (300).

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 (11331220021207) 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 59 ways as a sum of consecutive naturals, for example, 75773704 + ... + 75923096.

Almost surely, 2^{11331220021200} is an apocalyptic number.

11331220021200 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 11331220021200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20342241629094).

11331220021200 is an abundant number, since it is smaller than the sum of its proper divisors (29353263236988).

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

11331220021200 is a wasteful number, since it uses less digits than its factorization.

11331220021200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 151764 (or 151744 counting only the distinct ones).

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

Adding to 11331220021200 its reverse (212002213311), we get a palindrome (11543222234511).

The spelling of 11331220021200 in words is "eleven trillion, three hundred thirty-one billion, two hundred twenty million, twenty-one thousand, two hundred".