11012312221200 has 120 divisors (see below), whose sum is σ = 39195674277600. Its totient is φ = 2936616589440.

The previous prime is 11012312221153. The next prime is 11012312221217. The reversal of 11012312221200 is 212221321011.

11012312221200 is a `hidden beast` number, since 1 + 10 + 1 + 231 + 2 + 221 + 200 = 666.

It is a tau number, because it is divible by the number of its divisors (120).

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 (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 509818470 + ... + 509840069.

It is an arithmetic number, because the mean of its divisors is an integer number (326630618980).

Almost surely, 2^{11012312221200} is an apocalyptic number.

11012312221200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11012312221200 is an abundant number, since it is smaller than the sum of its proper divisors (28183362056400).

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

11012312221200 is a wasteful number, since it uses less digits than its factorization.

11012312221200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1019658566 (or 1019658549 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 11012312221200 its reverse (212221321011), we get a palindrome (11224533542211).

The spelling of 11012312221200 in words is "eleven trillion, twelve billion, three hundred twelve million, two hundred twenty-one thousand, two hundred".