11121459148800 has 6912 divisors, whose sum is σ = 59619384115200. Its totient is φ = 1977915801600.

The previous prime is 11121459148733. The next prime is 11121459148837. The reversal of 11121459148800 is 884195412111.

11121459148800 is a `hidden beast` number, since 1 + 1 + 1 + 2 + 14 + 591 + 48 + 8 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (6912).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 236626790377 + ... + 236626790423.

It is an arithmetic number, because the mean of its divisors is an integer number (8625489600).

Almost surely, 2^{11121459148800} is an apocalyptic number.

11121459148800 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 11121459148800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29809692057600).

11121459148800 is an abundant number, since it is smaller than the sum of its proper divisors (48497924966400).

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

11121459148800 is a wasteful number, since it uses less digits than its factorization.

11121459148800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 144 (or 107 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 45.

The spelling of 11121459148800 in words is "eleven trillion, one hundred twenty-one billion, four hundred fifty-nine million, one hundred forty-eight thousand, eight hundred".