11001112221200 has 60 divisors (see below), whose sum is σ = 26473009288980. Its totient is φ = 4393312788480.

The previous prime is 11001112221199. The next prime is 11001112221223. The reversal of 11001112221200 is 212221110011.

It can be written as a sum of positive squares in 6 ways, for example, as 2715165746176 + 8285946475024 = 1647776^2 + 2878532^2 .

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, 22040705 + ... + 22534304.

It is an arithmetic number, because the mean of its divisors is an integer number (441216821483).

Almost surely, 2^{11001112221200} is an apocalyptic number.

11001112221200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11001112221200 is an abundant number, since it is smaller than the sum of its proper divisors (15471897067780).

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

11001112221200 is a wasteful number, since it uses less digits than its factorization.

11001112221200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44575644 (or 44575633 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 11001112221200 its reverse (212221110011), we get a palindrome (11213333331211).

The spelling of 11001112221200 in words is "eleven trillion, one billion, one hundred twelve million, two hundred twenty-one thousand, two hundred".