11121114656000 has 576 divisors, whose sum is σ = 29813758490880. Its totient is φ = 4120724275200.

The previous prime is 11121114655967. The next prime is 11121114656021. The reversal of 11121114656000 is 65641112111.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 18142111694 + ... + 18142112306.

It is an arithmetic number, because the mean of its divisors is an integer number (51759997380).

Almost surely, 2^{11121114656000} is an apocalyptic number.

11121114656000 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 11121114656000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14906879245440).

11121114656000 is an abundant number, since it is smaller than the sum of its proper divisors (18692643834880).

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

11121114656000 is an equidigital number, since it uses as much as digits as its factorization.

11121114656000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1279 (or 1255 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 29.

Adding to 11121114656000 its reverse (65641112111), we get a palindrome (11186755768111).

The spelling of 11121114656000 in words is "eleven trillion, one hundred twenty-one billion, one hundred fourteen million, six hundred fifty-six thousand".