11132200000 has 84 divisors (see below), whose sum is σ = 27611803044. Its totient is φ = 4452800000.

The previous prime is 11132199973. The next prime is 11132200003. The reversal of 11132200000 is 223111.

It can be written as a sum of positive squares in 6 ways, for example, as 10068918336 + 1063281664 = 100344^2 + 32608^2 .

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a self number, because there is not a number n which added to its sum of digits gives 11132200000.

It is not an unprimeable number, because it can be changed into a prime (11132200003) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 172170 + ... + 227830.

It is an arithmetic number, because the mean of its divisors is an integer number (328711941).

Almost surely, 2^11132200000 is an apocalyptic number.

11132200000 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 11132200000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13805901522).

11132200000 is an abundant number, since it is smaller than the sum of its proper divisors (16479603044).

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

11132200000 is an frugal number, since it uses more digits than its factorization.

11132200000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55698 (or 55668 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 10.

Adding to 11132200000 its reverse (223111), we get a palindrome (11132423111).

The spelling of 11132200000 in words is "eleven billion, one hundred thirty-two million, two hundred thousand".