11132330220 has 288 divisors, whose sum is σ = 37486665216. Its totient is φ = 2651750400.

The previous prime is 11132330219. The next prime is 11132330233. The reversal of 11132330220 is 2203323111.

11132330220 is a `hidden beast` number, since 1 + 113 + 2 + 330 + 220 = 666.

11132330220 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×11132330220² (a number of 21 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 11132330193 and 11132330202.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 43316332 + ... + 43316588.

It is an arithmetic number, because the mean of its divisors is an integer number (130162032).

Almost surely, 2^11132330220 is an apocalyptic number.

11132330220 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 11132330220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18743332608).

11132330220 is an abundant number, since it is smaller than the sum of its proper divisors (26354334996).

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

11132330220 is a wasteful number, since it uses less digits than its factorization.

11132330220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 581 (or 576 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 11132330220 its reverse (2203323111), we get a palindrome (13335653331).

The spelling of 11132330220 in words is "eleven billion, one hundred thirty-two million, three hundred thirty thousand, two hundred twenty".