11132818200 has 480 divisors, whose sum is σ = 46524403200. Its totient is φ = 2410248960.

The previous prime is 11132818199. The next prime is 11132818201. The reversal of 11132818200 is 281823111.

It is an interprime number because it is at equal distance from previous prime (11132818199) and next prime (11132818201).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11132818201) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 2152017 + ... + 2157183.

It is an arithmetic number, because the mean of its divisors is an integer number (96925840).

Almost surely, 2^11132818200 is an apocalyptic number.

11132818200 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 11132818200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23262201600).

11132818200 is an abundant number, since it is smaller than the sum of its proper divisors (35391585000).

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

11132818200 is a wasteful number, since it uses less digits than its factorization.

11132818200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5221 (or 5203 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 27.

It can be divided in two parts, 1113281 and 8200, that added together give a square (1121481 = 1059²).

The spelling of 11132818200 in words is "eleven billion, one hundred thirty-two million, eight hundred eighteen thousand, two hundred".