11121300032000 has 320 divisors, whose sum is σ = 29022106823424. Its totient is φ = 4242648678400.

The previous prime is 11121300031973. The next prime is 11121300032071. The reversal of 11121300032000 is 23000312111.

It is a tau number, because it is divible by the number of its divisors (320).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 510773114 + ... + 510794886.

Almost surely, 2^{11121300032000} is an apocalyptic number.

11121300032000 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 11121300032000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14511053411712).

11121300032000 is an abundant number, since it is smaller than the sum of its proper divisors (17900806791424).

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

11121300032000 is an equidigital number, since it uses as much as digits as its factorization.

11121300032000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22176 (or 22150 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 14.

Adding to 11121300032000 its reverse (23000312111), we get a palindrome (11144300344111).

The spelling of 11121300032000 in words is "eleven trillion, one hundred twenty-one billion, three hundred million, thirty-two thousand".