11101111111200 has 288 divisors, whose sum is σ = 39809333414592. Its totient is φ = 2664532480000.

The previous prime is 11101111111199. The next prime is 11101111111249. The reversal of 11101111111200 is 211111110111.

It is a Harshad number since it is a multiple of its sum of digits (12).

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, 584734 + ... + 4748066.

It is an arithmetic number, because the mean of its divisors is an integer number (138226852134).

Almost surely, 2^{11101111111200} is an apocalyptic number.

11101111111200 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 11101111111200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19904666707296).

11101111111200 is an abundant number, since it is smaller than the sum of its proper divisors (28708222303392).

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

11101111111200 is a wasteful number, since it uses less digits than its factorization.

11101111111200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4163468 (or 4163455 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 12.

Adding to 11101111111200 its reverse (211111110111), we get a palindrome (11312222221311).

It can be divided in two parts, 111011 and 11111200, that added together give a palindrome (11222211).

The spelling of 11101111111200 in words is "eleven trillion, one hundred one billion, one hundred eleven million, one hundred eleven thousand, two hundred".