11022111221200 has 60 divisors (see below), whose sum is σ = 28038305885580. Its totient is φ = 4149500692480.

The previous prime is 11022111221189. The next prime is 11022111221243. The reversal of 11022111221200 is 212211122011.

It can be written as a sum of positive squares in 6 ways, for example, as 1278205504 + 11020833015696 = 35752^2 + 3319764^2 .

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 810442555 + ... + 810456154.

It is an arithmetic number, because the mean of its divisors is an integer number (467305098093).

Almost surely, 2^{11022111221200} is an apocalyptic number.

11022111221200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11022111221200 is an abundant number, since it is smaller than the sum of its proper divisors (17016194664380).

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

11022111221200 is a wasteful number, since it uses less digits than its factorization.

11022111221200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1620898744 (or 1620898733 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 11022111221200 its reverse (212211122011), we get a palindrome (11234322343211).

The spelling of 11022111221200 in words is "eleven trillion, twenty-two billion, one hundred eleven million, two hundred twenty-one thousand, two hundred".