11121111021200 has 60 divisors (see below), whose sum is σ = 26721369406308. Its totient is φ = 4447961548800.

The previous prime is 11121111021179. The next prime is 11121111021239. The reversal of 11121111021200 is 212011112111.

It can be written as a sum of positive squares in 6 ways, for example, as 11528746384 + 11109582274816 = 107372^2 + 3333104^2 .

It is a super-2 number, since 2×11121111021200² (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2192084 + ... + 5200716.

Almost surely, 2^{11121111021200} is an apocalyptic number.

11121111021200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11121111021200 is an abundant number, since it is smaller than the sum of its proper divisors (15600258385108).

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

11121111021200 is a wasteful number, since it uses less digits than its factorization.

11121111021200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3017892 (or 3017881 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 14.

Adding to 11121111021200 its reverse (212011112111), we get a palindrome (11333122133311).

The spelling of 11121111021200 in words is "eleven trillion, one hundred twenty-one billion, one hundred eleven million, twenty-one thousand, two hundred".