11330201032200 has 144 divisors (see below), whose sum is σ = 38059272147780. Its totient is φ = 3020697684480.

The previous prime is 11330201032181. The next prime is 11330201032247. The reversal of 11330201032200 is 223010203311.

11330201032200 is a `hidden beast` number, since 1 + 1 + 330 + 2 + 0 + 10 + 322 + 0 + 0 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 1290137048964 + 10040063983236 = 1135842^2 + 3168606^2 .

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 35 ways as a sum of consecutive naturals, for example, 7198822 + ... + 8630378.

Almost surely, 2^{11330201032200} is an apocalyptic number.

11330201032200 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 11330201032200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19029636073890).

11330201032200 is an abundant number, since it is smaller than the sum of its proper divisors (26729071115580).

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

11330201032200 is a wasteful number, since it uses less digits than its factorization.

11330201032200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1435976 (or 1435964 counting only the distinct ones).

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

Adding to 11330201032200 its reverse (223010203311), we get a palindrome (11553211235511).

The spelling of 11330201032200 in words is "eleven trillion, three hundred thirty billion, two hundred one million, thirty-two thousand, two hundred".