11012144333220 has 144 divisors (see below), whose sum is σ = 34116947504640. Its totient is φ = 2873861561088.

The previous prime is 11012144333209. The next prime is 11012144333237. The reversal of 11012144333220 is 2233344121011.

11012144333220 is a `hidden beast` number, since 1 + 1 + 0 + 1 + 2 + 1 + 4 + 433 + 3 + 220 = 666.

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, 122785914 + ... + 122875566.

It is an arithmetic number, because the mean of its divisors is an integer number (236923246560).

Almost surely, 2^{11012144333220} is an apocalyptic number.

11012144333220 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 11012144333220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17058473752320).

11012144333220 is an abundant number, since it is smaller than the sum of its proper divisors (23104803171420).

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

11012144333220 is a wasteful number, since it uses less digits than its factorization.

11012144333220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104234 (or 104229 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

Adding to 11012144333220 its reverse (2233344121011), we get a palindrome (13245488454231).

The spelling of 11012144333220 in words is "eleven trillion, twelve billion, one hundred forty-four million, three hundred thirty-three thousand, two hundred twenty".