11122201021200 has 240 divisors, whose sum is σ = 37002187779840. Its totient is φ = 2853334978560.

The previous prime is 11122201021133. The next prime is 11122201021213. The reversal of 11122201021200 is 212010222111.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 11122201021200.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2544297 + ... + 5358903.

It is an arithmetic number, because the mean of its divisors is an integer number (154175782416).

Almost surely, 2^{11122201021200} is an apocalyptic number.

11122201021200 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 11122201021200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18501093889920).

11122201021200 is an abundant number, since it is smaller than the sum of its proper divisors (25879986758640).

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

11122201021200 is a wasteful number, since it uses less digits than its factorization.

11122201021200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2814754 (or 2814743 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 11122201021200 its reverse (212010222111), we get a palindrome (11334211243311).

The spelling of 11122201021200 in words is "eleven trillion, one hundred twenty-two billion, two hundred one million, twenty-one thousand, two hundred".