11121233820480 has 2016 divisors, whose sum is σ = 47633885724672. Its totient is φ = 2370274099200.

The previous prime is 11121233820467. The next prime is 11121233820481. The reversal of 11121233820480 is 8402833212111.

11121233820480 is a `hidden beast` number, since 1 + 1 + 1 + 2 + 123 + 38 + 20 + 480 = 666.

It is a tau number, because it is divible by the number of its divisors (2016).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11121233820481) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 20556809010 + ... + 20556809550.

Almost surely, 2^{11121233820480} is an apocalyptic number.

11121233820480 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 11121233820480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23816942862336).

11121233820480 is an abundant number, since it is smaller than the sum of its proper divisors (36512651904192).

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

11121233820480 is a wasteful number, since it uses less digits than its factorization.

11121233820480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 773 (or 753 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The spelling of 11121233820480 in words is "eleven trillion, one hundred twenty-one billion, two hundred thirty-three million, eight hundred twenty thousand, four hundred eighty".