11011132101200 has 240 divisors, whose sum is σ = 33033428760960. Its totient is φ = 3426680832000.

The previous prime is 11011132101197. The next prime is 11011132101257. The reversal of 11011132101200 is 210123111011.

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

It is a congruent number.

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, 19463936 + ... + 20021664.

It is an arithmetic number, because the mean of its divisors is an integer number (137639286504).

Almost surely, 2^{11011132101200} is an apocalyptic number.

11011132101200 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 11011132101200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16516714380480).

11011132101200 is an abundant number, since it is smaller than the sum of its proper divisors (22022296659760).

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

11011132101200 is a wasteful number, since it uses less digits than its factorization.

11011132101200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 558406 (or 558395 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 14.

Adding to 11011132101200 its reverse (210123111011), we get a palindrome (11221255212211).

The spelling of 11011132101200 in words is "eleven trillion, eleven billion, one hundred thirty-two million, one hundred one thousand, two hundred".