11721481221120 has 1408 divisors, whose sum is σ = 45335761731072. Its totient is φ = 2551814553600.

The previous prime is 11721481221119. The next prime is 11721481221127. The reversal of 11721481221120 is 2112218412711.

It is a tau number, because it is divible by the number of its divisors (1408).

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11721481221127) by changing a digit.

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 127 ways as a sum of consecutive naturals, for example, 5632618480 + ... + 5632620560.

Almost surely, 2^{11721481221120} is an apocalyptic number.

11721481221120 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 11721481221120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22667880865536).

11721481221120 is an abundant number, since it is smaller than the sum of its proper divisors (33614280509952).

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

11721481221120 is a wasteful number, since it uses less digits than its factorization.

11721481221120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2227 (or 2209 counting only the distinct ones).

The product of its (nonzero) digits is 3584, while the sum is 33.

Adding to 11721481221120 its reverse (2112218412711), we get a palindrome (13833699633831).

The spelling of 11721481221120 in words is "eleven trillion, seven hundred twenty-one billion, four hundred eighty-one million, two hundred twenty-one thousand, one hundred twenty".