11132121112200 has 576 divisors, whose sum is σ = 41388273838080. Its totient is φ = 2658769344000.

The previous prime is 11132121112159. The next prime is 11132121112223. The reversal of 11132121112200 is 221112123111.

It is a happy number.

11132121112200 is a `hidden beast` number, since 1 + 11 + 321 + 2 + 111 + 220 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 3350019739 + ... + 3350023061.

It is an arithmetic number, because the mean of its divisors is an integer number (71854642080).

Almost surely, 2^{11132121112200} is an apocalyptic number.

11132121112200 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 11132121112200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20694136919040).

11132121112200 is an abundant number, since it is smaller than the sum of its proper divisors (30256152725880).

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

11132121112200 is a wasteful number, since it uses less digits than its factorization.

11132121112200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5810 (or 5798 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 18.

Adding to 11132121112200 its reverse (221112123111), we get a palindrome (11353233235311).

The spelling of 11132121112200 in words is "eleven trillion, one hundred thirty-two billion, one hundred twenty-one million, one hundred twelve thousand, two hundred".