11011312111200 has 144 divisors (see below), whose sum is σ = 35931205161936. Its totient is φ = 2929027072000.

The previous prime is 11011312111187. The next prime is 11011312111207. The reversal of 11011312111200 is 211121311011.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 11011312111200.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11011312111207) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4758357 + ... + 6683156.

It is an arithmetic number, because the mean of its divisors is an integer number (249522258069).

Almost surely, 2^{11011312111200} is an apocalyptic number.

11011312111200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11011312111200 is an abundant number, since it is smaller than the sum of its proper divisors (24919893050736).

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

11011312111200 is a wasteful number, since it uses less digits than its factorization.

11011312111200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11441937 (or 11441924 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 15.

Adding to 11011312111200 its reverse (211121311011), we get a palindrome (11222433422211).

The spelling of 11011312111200 in words is "eleven trillion, eleven billion, three hundred twelve million, one hundred eleven thousand, two hundred".