11101111221200 has 240 divisors, whose sum is σ = 35809236145536. Its totient is φ = 3193925990400.

The previous prime is 11101111221199. The next prime is 11101111221209. The reversal of 11101111221200 is 212211110111.

11101111221200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11101111221209) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 13462127 + ... + 14262926.

Almost surely, 2^{11101111221200} is an apocalyptic number.

11101111221200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11101111221200 is an abundant number, since it is smaller than the sum of its proper divisors (24708124924336).

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

11101111221200 is a wasteful number, since it uses less digits than its factorization.

11101111221200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27725102 (or 27725091 counting only the distinct ones).

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

Adding to 11101111221200 its reverse (212211110111), we get a palindrome (11313322331311).

It can be divided in two parts, 11101111 and 221200, that added together give a palindrome (11322311).

The spelling of 11101111221200 in words is "eleven trillion, one hundred one billion, one hundred eleven million, two hundred twenty-one thousand, two hundred".