11100111121200 has 240 divisors, whose sum is σ = 37477526979200. Its totient is φ = 2800587571200.

The previous prime is 11100111121193. The next prime is 11100111121213. The reversal of 11100111121200 is 212111100111.

It is a tau number, because it is divible by the number of its divisors (240).

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, 17216655 + ... + 17849745.

Almost surely, 2^{11100111121200} is an apocalyptic number.

11100111121200 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 11100111121200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18738763489600).

11100111121200 is an abundant number, since it is smaller than the sum of its proper divisors (26377415858000).

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

11100111121200 is a wasteful number, since it uses less digits than its factorization.

11100111121200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 633900 (or 633889 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 12.

Adding to 11100111121200 its reverse (212111100111), we get a palindrome (11312222221311).

The spelling of 11100111121200 in words is "eleven trillion, one hundred billion, one hundred eleven million, one hundred twenty-one thousand, two hundred".